Does the end of his dissappearing fin look white? Or furry?Could be as simple as fin-rot, a couple of water changes might make him feel better.
Not white or furry. just transparent at the tip, the gone. Stats are Amonia - 0, Nitrite - 0, Nitrate - 5-10. I wonder if it's something in the water I can't test for.How will I know when he's dead? He's not moving anymore, but I don't want to take him out of the water too soon.
If it's not white or furry, and its just transparent/gone, chances are he either got bullied badly by another fish, or it's fin and tail rot. Was he acting weak before this for the other fish to pick on him? If all your stats are 0, and your nitrates aren't high enough to really cause damage, I would do a large water change. How big is your quarantine tank? If it's small, I'd go buy some distilled water to do the water change to make sure it doesn't mess with his water stats. I would also go get some anti bacterial medication, like Melafix. It's about $8-$10 dollars for a decent size bottle (in case the rest of the tank gets it) or you just might need it in the future. You can also add it when adding new fish to make sure they don't have bacteria infections that could be spread to the rest of the fish in your tank.