Finding the Fourth Proportional to 1,152.27, 1,727.28 and 458.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.27 : 1,727.28 = 458.73 : x
2. Step 2: Convert to fraction form
   1,152.27/1,727.28 = 458.73/x
3. Step 3: Cross multiply
   1,152.27x = 1,727.28 × 458.73
4. Step 4: Simplify right side
   1,152.27x = 792,355.15
5. Step 5: Solve for x
   x = 792,355.15/1,152.27
6. Step 6: Final answer
   x = 687.65