Do you have an onboard video card in that system?
If it is new enough to have a compatible video card slot (AGP would probably still work IF you can still buy / find an AGP based video card - or PCI-E of course) why not just pop in a video card?
E. g. as the other posters suggested, you most probably have a video display system that is much too old to work with a very new distro / kernel version. It should work in text mode for an install, if you can try that, but you'll most probably then not be able to get into any form of GUI (via Xwindows) once the distro is installed since your card is too old.
Note that installing a "video driver" is pointless if you have no operating system installed yet. You must first install the operating system, THEN a video driver which tells the operating system how to drive the video display.
Note that if you have a VESA compatible card (ancient stuff as far as I know) if I remember right there are some kernel boot params you should be able to pass to attempt to force the install to use VESA compliant commands to drive the display (at least while installing.)
Alternatively, you can try and use the text (non-GUI) install. But you will still most probably run into problems when booting the first time, since the newly installed distro might try to start up in GUI mode, which will again just give you a blank, black screen. (This can be sidestepped - use the rescue disc and then edit /etc/inittab and make sure the
is replaced with
and reboot. You'll then start up in text mode, not GUI mode. Then you can maybe fiddle with compiling alternate display drivers or edit your xorg.conf to maybe try different drivers to get the GUI / Xorg working.