Finding the Fourth Proportional to 9,657.96, 13,328.04 and 5,679.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,657.96 : 13,328.04 = 5,679.24 : x
2. Step 2: Convert to fraction form
   9,657.96/13,328.04 = 5,679.24/x
3. Step 3: Cross multiply
   9,657.96x = 13,328.04 × 5,679.24
4. Step 4: Simplify right side
   9,657.96x = 75,693,137.89
5. Step 5: Solve for x
   x = 75,693,137.89/9,657.96
6. Step 6: Final answer
   x = 7,837.38