Finding the Fourth Proportional to 9,661.76, 13,329.38 and 5,676.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,661.76 : 13,329.38 = 5,676.56 : x
2. Step 2: Convert to fraction form
   9,661.76/13,329.38 = 5,676.56/x
3. Step 3: Cross multiply
   9,661.76x = 13,329.38 × 5,676.56
4. Step 4: Simplify right side
   9,661.76x = 75,664,972.88
5. Step 5: Solve for x
   x = 75,664,972.88/9,661.76
6. Step 6: Final answer
   x = 7,831.39