Finding the Fourth Proportional to 2,057.18, 3,087.85 and 1,824.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057.18 : 3,087.85 = 1,824.41 : x
2. Step 2: Convert to fraction form
   2,057.18/3,087.85 = 1,824.41/x
3. Step 3: Cross multiply
   2,057.18x = 3,087.85 × 1,824.41
4. Step 4: Simplify right side
   2,057.18x = 5,633,504.42
5. Step 5: Solve for x
   x = 5,633,504.42/2,057.18
6. Step 6: Final answer
   x = 2,738.46