Finding the Fourth Proportional to 9,938.53, 13,715.49 and 5,462.70

Step by Step Solution

1. Step 1: Write the proportion equation
   9,938.53 : 13,715.49 = 5,462.70 : x
2. Step 2: Convert to fraction form
   9,938.53/13,715.49 = 5,462.70/x
3. Step 3: Cross multiply
   9,938.53x = 13,715.49 × 5,462.70
4. Step 4: Simplify right side
   9,938.53x = 74,923,607.22
5. Step 5: Solve for x
   x = 74,923,607.22/9,938.53
6. Step 6: Final answer
   x = 7,538.70