Finding the Fourth Proportional to 9,264.29, 12,786.71 and 5,906.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,264.29 : 12,786.71 = 5,906.33 : x
2. Step 2: Convert to fraction form
   9,264.29/12,786.71 = 5,906.33/x
3. Step 3: Cross multiply
   9,264.29x = 12,786.71 × 5,906.33
4. Step 4: Simplify right side
   9,264.29x = 75,522,499.34
5. Step 5: Solve for x
   x = 75,522,499.34/9,264.29
6. Step 6: Final answer
   x = 8,152.00