Finding the Fourth Proportional to 9,656.64, 13,322.88 and 5,676.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,656.64 : 13,322.88 = 5,676.48 : x
2. Step 2: Convert to fraction form
   9,656.64/13,322.88 = 5,676.48/x
3. Step 3: Cross multiply
   9,656.64x = 13,322.88 × 5,676.48
4. Step 4: Simplify right side
   9,656.64x = 75,627,061.86
5. Step 5: Solve for x
   x = 75,627,061.86/9,656.64
6. Step 6: Final answer
   x = 7,831.61