Finding the Fourth Proportional to 9,778.89, 14,666.07 and 5,831.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,778.89 : 14,666.07 = 5,831.25 : x
2. Step 2: Convert to fraction form
   9,778.89/14,666.07 = 5,831.25/x
3. Step 3: Cross multiply
   9,778.89x = 14,666.07 × 5,831.25
4. Step 4: Simplify right side
   9,778.89x = 85,521,520.69
5. Step 5: Solve for x
   x = 85,521,520.69/9,778.89
6. Step 6: Final answer
   x = 8,745.52