Finding the Fourth Proportional to 1,150.56, 1,724.85 and 457.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.56 : 1,724.85 = 457.72 : x
2. Step 2: Convert to fraction form
   1,150.56/1,724.85 = 457.72/x
3. Step 3: Cross multiply
   1,150.56x = 1,724.85 × 457.72
4. Step 4: Simplify right side
   1,150.56x = 789,494.03
5. Step 5: Solve for x
   x = 789,494.03/1,150.56
6. Step 6: Final answer
   x = 686.18