Finding the Fourth Proportional to 1,387.50, 2,081.39 and 462.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,387.50 : 2,081.39 = 462.72 : x
2. Step 2: Convert to fraction form
   1,387.50/2,081.39 = 462.72/x
3. Step 3: Cross multiply
   1,387.50x = 2,081.39 × 462.72
4. Step 4: Simplify right side
   1,387.50x = 963,106.27
5. Step 5: Solve for x
   x = 963,106.27/1,387.50
6. Step 6: Final answer
   x = 694.13