Finding the Fourth Proportional to 6,380.82, 9,569.67 and 2,683.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,380.82 : 9,569.67 = 2,683.10 : x
2. Step 2: Convert to fraction form
   6,380.82/9,569.67 = 2,683.10/x
3. Step 3: Cross multiply
   6,380.82x = 9,569.67 × 2,683.10
4. Step 4: Simplify right side
   6,380.82x = 25,676,333.73
5. Step 5: Solve for x
   x = 25,676,333.73/6,380.82
6. Step 6: Final answer
   x = 4,023.99