Finding the Fourth Proportional to 9,258.91, 12,781.40 and 5,906.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,258.91 : 12,781.40 = 5,906.12 : x
2. Step 2: Convert to fraction form
   9,258.91/12,781.40 = 5,906.12/x
3. Step 3: Cross multiply
   9,258.91x = 12,781.40 × 5,906.12
4. Step 4: Simplify right side
   9,258.91x = 75,488,388.73
5. Step 5: Solve for x
   x = 75,488,388.73/9,258.91
6. Step 6: Final answer
   x = 8,153.06