Finding the Fourth Proportional to 9,938.81, 13,715.27 and 5,462.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,938.81 : 13,715.27 = 5,462.57 : x
2. Step 2: Convert to fraction form
   9,938.81/13,715.27 = 5,462.57/x
3. Step 3: Cross multiply
   9,938.81x = 13,715.27 × 5,462.57
4. Step 4: Simplify right side
   9,938.81x = 74,920,526.55
5. Step 5: Solve for x
   x = 74,920,526.55/9,938.81
6. Step 6: Final answer
   x = 7,538.18