Finding the Fourth Proportional to 1,149.31, 1,585.47 and 706.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,149.31 : 1,585.47 = 706.51 : x
2. Step 2: Convert to fraction form
   1,149.31/1,585.47 = 706.51/x
3. Step 3: Cross multiply
   1,149.31x = 1,585.47 × 706.51
4. Step 4: Simplify right side
   1,149.31x = 1,120,150.41
5. Step 5: Solve for x
   x = 1,120,150.41/1,149.31
6. Step 6: Final answer
   x = 974.63