Finding the Fourth Proportional to 9,938.76, 13,715.90 and 5,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,938.76 : 13,715.90 = 5,689.50 : x
2. Step 2: Convert to fraction form
   9,938.76/13,715.90 = 5,689.50/x
3. Step 3: Cross multiply
   9,938.76x = 13,715.90 × 5,689.50
4. Step 4: Simplify right side
   9,938.76x = 78,036,613.05
5. Step 5: Solve for x
   x = 78,036,613.05/9,938.76
6. Step 6: Final answer
   x = 7,851.75