Finding the Fourth Proportional to 9,938.57, 13,714.93 and 5,462.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,938.57 : 13,714.93 = 5,462.31 : x
2. Step 2: Convert to fraction form
   9,938.57/13,714.93 = 5,462.31/x
3. Step 3: Cross multiply
   9,938.57x = 13,714.93 × 5,462.31
4. Step 4: Simplify right side
   9,938.57x = 74,915,199.29
5. Step 5: Solve for x
   x = 74,915,199.29/9,938.57
6. Step 6: Final answer
   x = 7,537.82