A project is expected to provide cash flows of $$10,050,$ $$11,200,$ $$14,300,$ and $$8,800$ over the next four years, respectively. At a required return of $8\mathrm{.}6$ percent, the project has a profitability index of $1\mathrm{.}315.$ For this to be true, what is the project's cost at Time $0$