Finding the Fourth Proportional to 1,149.89, 1,724.83 and 456.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,149.89 : 1,724.83 = 456.72 : x
2. Step 2: Convert to fraction form
   1,149.89/1,724.83 = 456.72/x
3. Step 3: Cross multiply
   1,149.89x = 1,724.83 × 456.72
4. Step 4: Simplify right side
   1,149.89x = 787,753.45
5. Step 5: Solve for x
   x = 787,753.45/1,149.89
6. Step 6: Final answer
   x = 685.07