Finding the Fourth Proportional to 3,842.49, 5,766.49 and 2,606.83

Step by Step Solution

1. Step 1: Write the proportion equation
   3,842.49 : 5,766.49 = 2,606.83 : x
2. Step 2: Convert to fraction form
   3,842.49/5,766.49 = 2,606.83/x
3. Step 3: Cross multiply
   3,842.49x = 5,766.49 × 2,606.83
4. Step 4: Simplify right side
   3,842.49x = 15,032,280.41
5. Step 5: Solve for x
   x = 15,032,280.41/3,842.49
6. Step 6: Final answer
   x = 3,912.12