Finding the Fourth Proportional to 8,225.72, 12,340.41 and 3,840.78

Step by Step Solution

1. Step 1: Write the proportion equation
   8,225.72 : 12,340.41 = 3,840.78 : x
2. Step 2: Convert to fraction form
   8,225.72/12,340.41 = 3,840.78/x
3. Step 3: Cross multiply
   8,225.72x = 12,340.41 × 3,840.78
4. Step 4: Simplify right side
   8,225.72x = 47,396,799.92
5. Step 5: Solve for x
   x = 47,396,799.92/8,225.72
6. Step 6: Final answer
   x = 5,762.02