Finding the Fourth Proportional to 9,654.96, 13,323.92 and 5,676.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,654.96 : 13,323.92 = 5,676.24 : x
2. Step 2: Convert to fraction form
   9,654.96/13,323.92 = 5,676.24/x
3. Step 3: Cross multiply
   9,654.96x = 13,323.92 × 5,676.24
4. Step 4: Simplify right side
   9,654.96x = 75,629,767.66
5. Step 5: Solve for x
   x = 75,629,767.66/9,654.96
6. Step 6: Final answer
   x = 7,833.26