If the cards are the same brand you might have a chance. You will need teaming drivers (Such as the Intel Proset drivers), which works on the Intel cards. You might have your work cut out for you though.
There are very few drivers that support 4 NICs.
Trying to force dis-similar brands and even some models of the same brands, to work together can be a nightmare. I had this issue with the ASRock Extreme6 motherboard and even though the NICs were both Intel, the Proset drivers didn't support the I218V, only the 211 chipset, so the inf files had to be hacked to force it to work.
Natively, Windows 7 does not support NIC teaming.
However, NIC teaming offers very little without a smart or manageable switch that supports link aggregation.
I'm assuming these are used for a single subnet. Not multiple networks.. that's a whole other can of worms.
You are not going to increase your bandwidth by teaming your NICS. The bottleneck is going to be your router and internet connection.
On a LAN you are not going to get over the speed of your LAN cable. If you run 4 x 1GB LAN cables to your smart switch then 1 x 1GB LAN cable to your router (or to where ever), you're still only going to max out that 1GB bandwidth.
What you will get is load balancing and fail over. (LBFO) - If you connect them to a smart switch. This means the traffic will be spread across the 4 LAN cables to the switch, and if one NIC fails it will use the others.
However, 4 NICs is an overkill IMHO.
Bottom line, if you are expecting massive speed improvements across your network or Internet you will be disappointed.