Ok so normally, because the ZX507 doesn't have a line out, you would need and "aux" input so that the preamp section of an integrated amp or preamp knows it's a weak signal coming in and can preamp it properly. Those are usually found on basic consumer audio and as expected, the A90 does not have it.
The A90 is an amp expecting a fully preamplified signal which the ZX507 can't do properly. The A90 seems to be able to act as a preamp, the irony! If you really want to try this, you can try a 3.5mm to dual RCA interconnect first because they are cheap so if it doesn't work out well, minimal losses. If the signal is too weak for the amp, you might want to try a 4.4mm male to dual 3 pin xlr interconnect but those are likely more expensive. Results are still not guaranteed, keep that in mind.