Finding the Fourth Proportional to 1,150.56, 1,726.20 and 457.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.56 : 1,726.20 = 457.32 : x
2. Step 2: Convert to fraction form
   1,150.56/1,726.20 = 457.32/x
3. Step 3: Cross multiply
   1,150.56x = 1,726.20 × 457.32
4. Step 4: Simplify right side
   1,150.56x = 789,425.78
5. Step 5: Solve for x
   x = 789,425.78/1,150.56
6. Step 6: Final answer
   x = 686.12