Finding the Fourth Proportional to 1,150.52, 1,587.54 and 776.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.52 : 1,587.54 = 776.92 : x
2. Step 2: Convert to fraction form
   1,150.52/1,587.54 = 776.92/x
3. Step 3: Cross multiply
   1,150.52x = 1,587.54 × 776.92
4. Step 4: Simplify right side
   1,150.52x = 1,233,391.58
5. Step 5: Solve for x
   x = 1,233,391.58/1,150.52
6. Step 6: Final answer
   x = 1,072.03