A physicist comes across an open container which is filled with two liquids with different densities. Water, which has a density of $1\mathrm{.}00\frac{g}{c}{m}^3,$ fills the lower portion of the container to a depth of $22\mathrm{.}1$ cm $.$ The liquid that floats on top of the water is $32\mathrm{.}1$ cm deep.

The acceleration due to gravity is $g=9\mathrm{.}81\frac{m}{s^2}$ and atmospheric pressure is $P_0=101300Pa.$

If the absolute pressure on the bottom of the container is $104900$ Pa $,$ what is the density $$ of the unknown fluid?

$=$

$k\frac{g}{m^3}$