Question: who manufactured the switch? Have you gone to their website and looked for troubleshooting tips? Some switches have power-on reset procedures which returns the address to a default IP that you can telnet to. If this is the case, you want to do this after hours because it will disrupt your regular network.
Do you have another switch on the same network that you can access? Sometimes a network admin will create a separate network to control switches and routers, but to dimplify his job, he will put all the switches and routers on the SAME network. Look at the configuration of the devices you can access. You may find something like this...router - 192.168.1.1, switch - 192.168.1.2 and so on. If you find a number missing (out of sequence), that could be it. You can try to ping or telnet other numbers in the series.
Finally, if the previous admin created a separate network to control switches and routers, this has to be supported by the router or its traffic willnot pass. Look at the router configuration for an interface with two ip networks on it, or for a VLAN, if you have something like a large cisco switch with an RSM.
Best wishes!