Finding the Fourth Proportional to 3,857.80, 5,777.38 and 2,209.34

Step by Step Solution

1. Step 1: Write the proportion equation
   3,857.80 : 5,777.38 = 2,209.34 : x
2. Step 2: Convert to fraction form
   3,857.80/5,777.38 = 2,209.34/x
3. Step 3: Cross multiply
   3,857.80x = 5,777.38 × 2,209.34
4. Step 4: Simplify right side
   3,857.80x = 12,764,196.73
5. Step 5: Solve for x
   x = 12,764,196.73/3,857.80
6. Step 6: Final answer
   x = 3,308.67