Finding the Fourth Proportional to 1,612.72, 2,419.10 and 458.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,612.72 : 2,419.10 = 458.47 : x
2. Step 2: Convert to fraction form
   1,612.72/2,419.10 = 458.47/x
3. Step 3: Cross multiply
   1,612.72x = 2,419.10 × 458.47
4. Step 4: Simplify right side
   1,612.72x = 1,109,084.78
5. Step 5: Solve for x
   x = 1,109,084.78/1,612.72
6. Step 6: Final answer
   x = 687.71