Bandwidth is shared between all the slots on the board, so if you run one card, it can run at x16 but if you run 2 it has to split into x8/x8, 3 cards:x8/x4/x4.
Some higher end motherboards have different/multiple PCie switches/controllers that provide more bandwidth than a stock, but they tend to be very expensive(a well known example, the ASRock Extreme11, is no less than 599.99 off Newegg and performs near the bottom compared to other boards in benchmarks). However all LGA1155 will be able to run 1 GPU at x16, as the processor provides that bandwidth.
If you really want 4-way SLI consider either an LGA2011 build or even a dual C602/C606 build with an SR-X/Z9PE, they both provide more bandwidth than a "consumer" level LGA1155.
Good luck!