Finding the Fourth Proportional to 1,151.98, 1,728.12 and 458.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.98 : 1,728.12 = 458.71 : x
2. Step 2: Convert to fraction form
   1,151.98/1,728.12 = 458.71/x
3. Step 3: Cross multiply
   1,151.98x = 1,728.12 × 458.71
4. Step 4: Simplify right side
   1,151.98x = 792,705.93
5. Step 5: Solve for x
   x = 792,705.93/1,151.98
6. Step 6: Final answer
   x = 688.12