That is determined by what in Bitcoin terms would be "the most work".

In Nxt terms if the hash was best for 1111 but 2222 also was close then whoever ended up choosing 2222 would be on a fork until they changed to 1111 (assuming they didn't see 1111 straight away).

This is a typical "fork" problem - and is solved once the nodes in the network "see" the best chain (they have approx. 1 day to do so from what I gather).