You are investing in a share of stock. The share will pay a dividend of $$5\mathrm{.}41$ at the end of the first year. The dividend is expected to grow forever at a rate of $2\mathrm{.}86\%$ per year. You require a $11\mathrm{.}82\%$ rate of return on the stock investment. What would be a fair price for this share of stock in $4$ years?

$($Answer to nearest $$0\mathrm{.}01)$