Finding the Fourth Proportional to 9,938.34, 13,714.90 and 5,462.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,938.34 : 13,714.90 = 5,462.38 : x
2. Step 2: Convert to fraction form
   9,938.34/13,714.90 = 5,462.38/x
3. Step 3: Cross multiply
   9,938.34x = 13,714.90 × 5,462.38
4. Step 4: Simplify right side
   9,938.34x = 74,915,995.46
5. Step 5: Solve for x
   x = 74,915,995.46/9,938.34
6. Step 6: Final answer
   x = 7,538.08