Finding the Fourth Proportional to 9,658.45, 13,328.43 and 5,679.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,658.45 : 13,328.43 = 5,679.82 : x
2. Step 2: Convert to fraction form
   9,658.45/13,328.43 = 5,679.82/x
3. Step 3: Cross multiply
   9,658.45x = 13,328.43 × 5,679.82
4. Step 4: Simplify right side
   9,658.45x = 75,703,083.28
5. Step 5: Solve for x
   x = 75,703,083.28/9,658.45
6. Step 6: Final answer
   x = 7,838.02