Evaluate the project using each of the following methods. For each method, should the project be accepted or rejected? Justify your answer based on the method used to evaluate the project$$s cash flows.

$1.$ Payback period

$2.$ Internal Rate of Return $($IRR$)$

$3.$ Simple Rate of Return

$4.$ Net Present Value

I've tried multiple methods of trying to find what the Internal rate of return value is$.$ I know that the answer is $22\mathrm{.}69\%,$ yet i cannot find the means mathmatically on how to reach this number. Can a proper formula be provided meaning the exact numbers I need to use to reach the value of $22\mathrm{.}69\%?$ Can a chart be provided that can show me the steps needed to reach the value of $22\mathrm{.}69\%$