So the sequence you want is:- power on, all relays released.
Press once, R1 operates.
Second press, R1 releases, R2 operates.
Third press, R2 releases, R3 operates.
Fourth press, R3 releases, R1 operates, etc.
Or do you want them all released at the fourth press?
It will cause some complications if you want R1 to operate at the fourth press. It is easier if the fourth press brings it back to the initial state, ie. all released.
Incidentally, for 4 states, you really only need 2 relays.