Finding the Fourth Proportional to 1,152.02, 1,727.33 and 458.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.02 : 1,727.33 = 458.79 : x
2. Step 2: Convert to fraction form
   1,152.02/1,727.33 = 458.79/x
3. Step 3: Cross multiply
   1,152.02x = 1,727.33 × 458.79
4. Step 4: Simplify right side
   1,152.02x = 792,480.58
5. Step 5: Solve for x
   x = 792,480.58/1,152.02
6. Step 6: Final answer
   x = 687.91