Finding the Fourth Proportional to 9,938.62, 13,714.50 and 5,462.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,938.62 : 13,714.50 = 5,462.61 : x
2. Step 2: Convert to fraction form
   9,938.62/13,714.50 = 5,462.61/x
3. Step 3: Cross multiply
   9,938.62x = 13,714.50 × 5,462.61
4. Step 4: Simplify right side
   9,938.62x = 74,916,937.53
5. Step 5: Solve for x
   x = 74,916,937.53/9,938.62
6. Step 6: Final answer
   x = 7,537.96