Finding the Fourth Proportional to 1,149.72, 1,587.20 and 707.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,149.72 : 1,587.20 = 707.87 : x
2. Step 2: Convert to fraction form
   1,149.72/1,587.20 = 707.87/x
3. Step 3: Cross multiply
   1,149.72x = 1,587.20 × 707.87
4. Step 4: Simplify right side
   1,149.72x = 1,123,531.69
5. Step 5: Solve for x
   x = 1,123,531.69/1,149.72
6. Step 6: Final answer
   x = 977.23