Finding the Fourth Proportional to 9,938.50, 13,714.84 and 5,462.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,938.50 : 13,714.84 = 5,462.25 : x
2. Step 2: Convert to fraction form
   9,938.50/13,714.84 = 5,462.25/x
3. Step 3: Cross multiply
   9,938.50x = 13,714.84 × 5,462.25
4. Step 4: Simplify right side
   9,938.50x = 74,913,884.79
5. Step 5: Solve for x
   x = 74,913,884.79/9,938.50
6. Step 6: Final answer
   x = 7,537.75