Finding the Fourth Proportional to 8,410.15, 12,615.12 and 2,566.78

Step by Step Solution

1. Step 1: Write the proportion equation
   8,410.15 : 12,615.12 = 2,566.78 : x
2. Step 2: Convert to fraction form
   8,410.15/12,615.12 = 2,566.78/x
3. Step 3: Cross multiply
   8,410.15x = 12,615.12 × 2,566.78
4. Step 4: Simplify right side
   8,410.15x = 32,380,237.71
5. Step 5: Solve for x
   x = 32,380,237.71/8,410.15
6. Step 6: Final answer
   x = 3,850.14