Two payments of $$850$ and $$600$ must be made two years and five years from now respectively. If money can earn $4\%$ compounded semiannually, what single payment, three years from now, would be equivalent to the two scheduled payments?

Group of answer choices

$$1,609\mathrm{.}22$

$$1,477\mathrm{.}16$

$$1,438\mathrm{.}65$

$$1,404\mathrm{.}19$

$$1,578\mathrm{.}88$