Becky bought a new Apple computer for $$1,205.$ The purchase price included a $6\%$ sales tax. What is the actual selling price of the computer?

$$1,277\mathrm{.}30$

$$1,136\mathrm{.}79$

$$1,132\mathrm{.}08$

$$1,200\mathrm{.}00$

None of the answer choices are correct.