It depends on what 277 volt device you are trying to connect.
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That's 277 volts of alternating current. This is typically one phase of a 480v 3 phase system. Don't worry that 3 x 277 adds up to more than 480v. A 277v line is typically one phase of a 480v 3 phase system.
If there is no ground wire connect the ground wire to the neutral wire.
R - Red Y - Yellow B - Blue
The neutral wire and power wire are never connected together.
Wire size is governed by amperage not voltage. Voltage is an insulation factor when talking about wire. Add up the amperage of fixtures you want in the circuit. Once that is found then the size of the wire can be calculated.