Finding the Fourth Proportional to 9,938.66, 13,715.30 and 5,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,938.66 : 13,715.30 = 5,462.50 : x
2. Step 2: Convert to fraction form
   9,938.66/13,715.30 = 5,462.50/x
3. Step 3: Cross multiply
   9,938.66x = 13,715.30 × 5,462.50
4. Step 4: Simplify right side
   9,938.66x = 74,919,826.25
5. Step 5: Solve for x
   x = 74,919,826.25/9,938.66
6. Step 6: Final answer
   x = 7,538.22