Finding the Fourth Proportional to 9,654.40, 13,322.28 and 5,675.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,654.40 : 13,322.28 = 5,675.68 : x
2. Step 2: Convert to fraction form
   9,654.40/13,322.28 = 5,675.68/x
3. Step 3: Cross multiply
   9,654.40x = 13,322.28 × 5,675.68
4. Step 4: Simplify right side
   9,654.40x = 75,612,998.15
5. Step 5: Solve for x
   x = 75,612,998.15/9,654.40
6. Step 6: Final answer
   x = 7,831.97