Finding the Fourth Proportional to 85,821.50, 128,762.50 and 38,432.72

Step by Step Solution

1. Step 1: Write the proportion equation
   85,821.50 : 128,762.50 = 38,432.72 : x
2. Step 2: Convert to fraction form
   85,821.50/128,762.50 = 38,432.72/x
3. Step 3: Cross multiply
   85,821.50x = 128,762.50 × 38,432.72
4. Step 4: Simplify right side
   85,821.50x = 4,948,693,109
5. Step 5: Solve for x
   x = 4,948,693,109/85,821.50
6. Step 6: Final answer
   x = 57,662.63