Finding the Fourth Proportional to 3,786.90, 5,682.78 and 2,144.62

Step by Step Solution

1. Step 1: Write the proportion equation
   3,786.90 : 5,682.78 = 2,144.62 : x
2. Step 2: Convert to fraction form
   3,786.90/5,682.78 = 2,144.62/x
3. Step 3: Cross multiply
   3,786.90x = 5,682.78 × 2,144.62
4. Step 4: Simplify right side
   3,786.90x = 12,187,403.64
5. Step 5: Solve for x
   x = 12,187,403.64/3,786.90
6. Step 6: Final answer
   x = 3,218.31