Finding the Fourth Proportional to 1,149.57, 1,585.59 and 707.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,149.57 : 1,585.59 = 707.71 : x
2. Step 2: Convert to fraction form
   1,149.57/1,585.59 = 707.71/x
3. Step 3: Cross multiply
   1,149.57x = 1,585.59 × 707.71
4. Step 4: Simplify right side
   1,149.57x = 1,122,137.90
5. Step 5: Solve for x
   x = 1,122,137.90/1,149.57
6. Step 6: Final answer
   x = 976.14