Finding the Fourth Proportional to 9,896.18, 13,658.27 and 5,647.23

Step by Step Solution

1. Step 1: Write the proportion equation
   9,896.18 : 13,658.27 = 5,647.23 : x
2. Step 2: Convert to fraction form
   9,896.18/13,658.27 = 5,647.23/x
3. Step 3: Cross multiply
   9,896.18x = 13,658.27 × 5,647.23
4. Step 4: Simplify right side
   9,896.18x = 77,131,363.86
5. Step 5: Solve for x
   x = 77,131,363.86/9,896.18
6. Step 6: Final answer
   x = 7,794.06