So I think that joist by the foundation wall is quite close to the wall, perhaps within a few inches. If that’s the case and if the joists are 15-16” apart, and if the tank sits a couple inches from the exterior wall, then I think it might reach the 2nd joist.Gee that's a lot of stuff in the way. I think you only need to brace 1 joist though. The tank load should be carried by the foundation wall and the next joist over. They should be 16 inches apart. The tank should be about 18 inches wide. Some cross bracing between joists would be good if you could get it in there too.
That is standard construction. In an old house who knows what was built. Got any handyman friends that could take a look at it.
Look especially for improper drilling of the affected joists for utilities like plumbing. Sometimes stupid things have been done and the floor is holding the joist up. It has just never had any real load on it.
You mentioned the floor is sloping downward from the wall now. It probably wasn't built that way.
When you brace a floor you just keep it where it is. Dont try to lift it. That is a very bad idea.
I don’t know if that foundation wall is in the same vertical plane as the exterior wall, but I do know the foundation is cinder block, and what is exposed in a concrete parge which adds some layer of thickness.
Yeah, I doubt the floors were sloping when it was built. This is quite common in old houses for floors to slope over time due to settling. I have much worse sloping elsewhere in the house.