Finding the Fourth Proportional to 6,414.67, 8,849.81 and 3,895.83

Step by Step Solution

1. Step 1: Write the proportion equation
   6,414.67 : 8,849.81 = 3,895.83 : x
2. Step 2: Convert to fraction form
   6,414.67/8,849.81 = 3,895.83/x
3. Step 3: Cross multiply
   6,414.67x = 8,849.81 × 3,895.83
4. Step 4: Simplify right side
   6,414.67x = 34,477,355.29
5. Step 5: Solve for x
   x = 34,477,355.29/6,414.67
6. Step 6: Final answer
   x = 5,374.77