Is your LACIE Firewire adapter a PCI card, or a PCI Express (PCIe or PCI-E) card? If you don't know the difference, consult the information in your motherboard manual which identifies its expansion card slot types, and see also these wiki pages for info and images of the different card/slot types:
http://en.wikipedia.org/wiki/Conventional_PCI http://en.wikipedia.org/wiki/PCI_Express If it's a PCI card, then you should seek a PCI Express card. Older style PCI Firewire cards (even those with a T.I. controller chip) don't always play well in some newer motherboards with system chipsets (like on your Z77 board) which lack "native" PCI interfaces and instead provide only "bridged" PCI slots.
Can't point you to any particular card, but you should look for one with a PCIe x1 interface and a T.I. XIO2213B or LSI 643 chipset (so check the card listing specifications and images). You might check here:
http://www.scan.co.uk/index.aspx?NT=1-0-47-393-0 You might also check M-Audio's (and Focusrite's and Presonus' and MOTU's, etc.) website for a FW adapter compatibility listing, as the interface makers typically list those FW adapter cards which they've tested and confirmed to be compatible with their interfaces.
I doubt it's the cable. Are you using the external power adapter for your Profire 2626 (which you must iirc)?