Finding the Fourth Proportional to 8,404.12, 12,605.37 and 2,560.78

Step by Step Solution

1. Step 1: Write the proportion equation
   8,404.12 : 12,605.37 = 2,560.78 : x
2. Step 2: Convert to fraction form
   8,404.12/12,605.37 = 2,560.78/x
3. Step 3: Cross multiply
   8,404.12x = 12,605.37 × 2,560.78
4. Step 4: Simplify right side
   8,404.12x = 32,279,579.39
5. Step 5: Solve for x
   x = 32,279,579.39/8,404.12
6. Step 6: Final answer
   x = 3,840.92