Equations
Let's call
x = distance of the required point to the point P
The distance from P to K is 5 - (-2) = 7. This means the distance from the required point to K is (7 - x).
Our point is located 4 times as far from P than from K, thus:
4(7 - x) = x
Operating:
28 - 4x = x
Adding 4x:
28 = 5x
Dividing by 5:
x = 28/5 = 5.6
The required point is located at -2 + 5.6 = 3.6
Checking the distances:
3.6 - (-2) = 5.6
7 - 5.6 = 1.4
It can be verified that 5.6 is four times 1.4, thus
x = 5.6