It seems that you installed the grub bootloader to the root partition of the Fedora installation, instead of to the MBR (master boot record). The Fedora installation may be good; you just can't boot it.
Try using the Fedora install cd. You may see a menu. Choose 'boot from hard drive'. If the installation of Fedora is good, it should boot OK.
To fix it so that you see the grub boot screen when you turn the computer on, open a terminal window in Fedora, and enter the grub shell with the command 'grub' and press enter.
At the grub prompt (grub>) give the command: setup (hd0) to put the grub first stage on the MBR.
Then remove the install cd and reboot. It should work then.