Finding the Fourth Proportional to 9,640.62, 13,308.38 and 5,661.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,640.62 : 13,308.38 = 5,661.98 : x
2. Step 2: Convert to fraction form
   9,640.62/13,308.38 = 5,661.98/x
3. Step 3: Cross multiply
   9,640.62x = 13,308.38 × 5,661.98
4. Step 4: Simplify right side
   9,640.62x = 75,351,781.39
5. Step 5: Solve for x
   x = 75,351,781.39/9,640.62
6. Step 6: Final answer
   x = 7,816.07