Calculate the payback period for a project requiring a $$5,000$ investment today and that promises to pay $$2004$ one year from today, $$2479$ two years from today, and $$3478$ three years from today. The cash flows after the $$5,000$ investment summarize cash flows that are actually occurring daily over time $($i$.$e$.,$ the answer to this question is NOT $3\mathrm{.}0000$ years!$).$ In years, what is the payback period? Express accurate out to $2$ decimal places $($e$.$g$.,1\mathrm{.}75$ would imply one year plus $3/4$ of an additional year$).$