A contract requires payments of $$3178\mathrm{.}00$ today, $$3460\mathrm{.}00$ in $2$ years, and $$5792\mathrm{.}00$ in $4$ years. When can the contract be fulfilled by a single payment equal to the sum of the required payments if money is worth $9\%$ p$.$a$.$ compounded quarterly? State your answer in years and months $($from $0$ to $11$ months$).$

The contract can be fulfilled in $||$ year$($s$)$ and ${?}_{?}$month$($s$).$