In $($Figure $1),$ the $x$ and $Y$ coordinates $($in meters$)$ of station A are $1007\mathrm{.}594$ and $1872\mathrm{.}720,$ respectively, and those of station $B$ are $1566\mathrm{.}865$ and $648\mathrm{.}491,$ respectively. Angle BAP was measured as $298{37}^{\text{'}}{41}^{\text{'}\text{'}}$ and angle ABP was measured as $65{03}^{\text{'}}{33}^{\text{'}\text{'}}.$

Part A

What are the coordinates of station $P?$

Express your answers in meters to seven significant figures separated by a comma.

Figure