It worked in my T7400. There's a card bay alignment assembly that has to be taken out to remove or insert a card. I had to cut off two of the alignment tabs to get it back in, but that's not much of a problem. I cut them off even with the end of the tabs. Your PCI Express 2.0 x16 card slot can handle the video card and the 75W that this card requires, and your 1000W Power Supply will handle the rest of the system. My T7400 has 12GB RAM and two Intel Xeon X5482 3.2GHZ Quad Core CPUs, and everything runs perfectly with this card.
When I installed the card, Windows 10 installed its generic drivers, so I installed NVIDIA Experience (a free download) and had it get the latest NVIDIA drivers. During installation, I selected Custom Install and checked the Clean Installation check box. Everything went perfectly after that.
NOTE: If you want to use your built-in "integrated" sound card, you need to check your BIOS settings first. Mine was set to Auto, so the video card's sound system took over and the integrated sound was disabled by the BIOS. I entered BIOS using the F2 key at startup and changed it from Auto to On, and that resolved the problem.