Finding the Fourth Proportional to 9,658.38, 13,325.46 and 5,680.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,658.38 : 13,325.46 = 5,680.86 : x
2. Step 2: Convert to fraction form
   9,658.38/13,325.46 = 5,680.86/x
3. Step 3: Cross multiply
   9,658.38x = 13,325.46 × 5,680.86
4. Step 4: Simplify right side
   9,658.38x = 75,700,072.70
5. Step 5: Solve for x
   x = 75,700,072.70/9,658.38
6. Step 6: Final answer
   x = 7,837.76