Finding the Fourth Proportional to 1,007.24, 1,507.71 and 775.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.24 : 1,507.71 = 775.52 : x
2. Step 2: Convert to fraction form
   1,007.24/1,507.71 = 775.52/x
3. Step 3: Cross multiply
   1,007.24x = 1,507.71 × 775.52
4. Step 4: Simplify right side
   1,007.24x = 1,169,268.76
5. Step 5: Solve for x
   x = 1,169,268.76/1,007.24
6. Step 6: Final answer
   x = 1,160.87