Finding the Fourth Proportional to 3,755.90, 5,182.81 and 2,077.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,755.90 : 5,182.81 = 2,077.30 : x
2. Step 2: Convert to fraction form
   3,755.90/5,182.81 = 2,077.30/x
3. Step 3: Cross multiply
   3,755.90x = 5,182.81 × 2,077.30
4. Step 4: Simplify right side
   3,755.90x = 10,766,251.21
5. Step 5: Solve for x
   x = 10,766,251.21/3,755.90
6. Step 6: Final answer
   x = 2,866.49