Finding the Fourth Proportional to 1,149.92, 1,586.56 and 708.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,149.92 : 1,586.56 = 708.16 : x
2. Step 2: Convert to fraction form
   1,149.92/1,586.56 = 708.16/x
3. Step 3: Cross multiply
   1,149.92x = 1,586.56 × 708.16
4. Step 4: Simplify right side
   1,149.92x = 1,123,538.33
5. Step 5: Solve for x
   x = 1,123,538.33/1,149.92
6. Step 6: Final answer
   x = 977.06