A firm has target debt$-$equity ratio of $0\mathrm{.}50.$ The flotation cost for equity is $7\%$ and the flotation cost for debt is $4\%.$ The firm needs $$10,000,000$ investment to undertake a project. How much should the firm raise to account for flotation costs and the initial investment need of the project?

Group of answer choices

$$10,752,688$

$$10,638,298$

$$10,416,667$

$$10,526,316$

$$11,000,912$