Tony: I've got the SEARS Version from 1978 on the "to do" list. Nice sounding but tired.
How familiar are you with reading a schematic? Do you have the Service Manual? If not it's on HIFIENGINE.com Mandatory registration, but free. NO SPAM.
https://www.hifiengine.com/manual_library/fisher/634.shtml
This is the power supply area for the 634. One 6A 250V SLO BLOW on the back bulkhead. If that blew you wouldn't have lights either. 2 are on the Fuse board. 10A 250V Slow Blow. And a final .75A (3/4A) 250V inline on the POWER SUPPLY BOARD! At least one of these probably blew. Pull them out and test again with the ohm meter. NOTE Voltage and AMPS on all 3 fuses. They could be the WRONG Values,(hey it's possible Slow blow can sound like a crackle/sizzle/pop when it goes, but you said you heard it thru your speakers. Which leads us to possibly Capacitors, drivers and output transistors. Good possibility that one or more shorted (output's) or drivers are shorted. They have to be tested.
https://audiokarma.org/forums/index.php?threads/bipolar-junction-transistor-testing-basics.43186/
Look at the tops of all the caps on the POWER SUPPLY, Protection board, AMPLIFIER BOARDS, and the rest of them for good measure. If any are split at the top or obviously bulged on the top, bottom, or Sides, replace. Right now we're going to try to get it running enough so that it's stable. Then you might as well plan on a detailed restoration. 43 year old electrolytics are pretty well dried out, even Nichicons's. Dried out caps short and cause plenty of problems.
DO NOT PLUG IT IN AGAIN unless advised to do so. Do you have the skills to Build a DBT(Dim Bulb Tester)? Any more power up's will be with the DBT online btwn the wall socket and the unit. This will mitigate further damage to the unit by taking the load by lighting up if the unit has a short.
In the Search box here or on Google, search DIM BULB TESTER. There are block diagrams to build one. Probably about $15 in parts from Home Depot or Lowes. You'll need a 60W, 75W, and 100W INCANDESCENT BULBS. NO Florescent or LED's. INCANDESCENT. A 3way 50-100-150 is fine as long as you install a 3way socket on the DBT.
If you feel that this is above your paygrade (and it's above mine, I hate working on Solid State, but it's a FISHER. My T/S skills are basic when it comes to S.S. as I'm more comfortable with Tubes.) Stop at the fuses and get it to a shop. There are guys on AK that do work on gear, and if you put feelers out in the "DOLLARS and SENSE" forum you might get one of them to at least look at it. Putting your location in your profile (county and state is close enough) helps us to determine who's close enough to you to maybe get you some face time.
Larry