Finding the Fourth Proportional to 6,414.57, 9,619.56 and 2,466.09

Step by Step Solution

1. Step 1: Write the proportion equation
   6,414.57 : 9,619.56 = 2,466.09 : x
2. Step 2: Convert to fraction form
   6,414.57/9,619.56 = 2,466.09/x
3. Step 3: Cross multiply
   6,414.57x = 9,619.56 × 2,466.09
4. Step 4: Simplify right side
   6,414.57x = 23,722,700.72
5. Step 5: Solve for x
   x = 23,722,700.72/6,414.57
6. Step 6: Final answer
   x = 3,698.25