Finding the Fourth Proportional to 9,938.67, 13,715.57 and 5,462.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,938.67 : 13,715.57 = 5,462.75 : x
2. Step 2: Convert to fraction form
   9,938.67/13,715.57 = 5,462.75/x
3. Step 3: Cross multiply
   9,938.67x = 13,715.57 × 5,462.75
4. Step 4: Simplify right side
   9,938.67x = 74,924,730.02
5. Step 5: Solve for x
   x = 74,924,730.02/9,938.67
6. Step 6: Final answer
   x = 7,538.71