Study about boost regulators on SMPS, i think this would help but take note that if you'll step up 12Vdc to 110Vdc, consider that power will always be greater at your input Pin> Pout ; 12V x _ A > 110V x 0.5A, I at your input should be greater than 5 Amps. This would give you and efficiency of Pout/Pin= 55W/60W= 92%. I think boost regulators are efficient, capable of giving at least an effieciency of 70 %. 0.7= 55/12 x _
Input current of about 6.55 Amps. Good Luck!