Finding the Fourth Proportional to 9,269.29, 12,781.37 and 5,906.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,269.29 : 12,781.37 = 5,906.78 : x
2. Step 2: Convert to fraction form
   9,269.29/12,781.37 = 5,906.78/x
3. Step 3: Cross multiply
   9,269.29x = 12,781.37 × 5,906.78
4. Step 4: Simplify right side
   9,269.29x = 75,496,698.90
5. Step 5: Solve for x
   x = 75,496,698.90/9,269.29
6. Step 6: Final answer
   x = 8,144.82