What is the value of $x$?

Source Texts

Text

A property owner wants to find the length

x

, in feet, across a pond as represented in the figure.

\overline{P R}

intersects

\overline{S T}

at point

Q

, and

∠ P T Q

is congruent to

∠ R S Q

. The lengths represented by

P Q, T Q, QS,

and

R S

were determined to be

4, 200

feet,

8, 400

feet,

1, 400

feet, and

1, 600

feet, respectively.

What is the value of

x

9600