Department $1$ had $$5,200$ in sales for the month, department $2$ had $$4,700,$ department $3$ had $$6,520,$ department $4$ had $$4,870,$ and department $5$ had $$2,010.$ The total overhead was $$10,000.$ Find out department $1\text{'}$s overhead based on sales.

Question $9$ options:

$$2231\mathrm{.}76$

$$2017\mathrm{.}17$

$$2798\mathrm{.}28$