Finding the Fourth Proportional to 3,755.75, 5,182.89 and 2,077.19

Step by Step Solution

1. Step 1: Write the proportion equation
   3,755.75 : 5,182.89 = 2,077.19 : x
2. Step 2: Convert to fraction form
   3,755.75/5,182.89 = 2,077.19/x
3. Step 3: Cross multiply
   3,755.75x = 5,182.89 × 2,077.19
4. Step 4: Simplify right side
   3,755.75x = 10,765,833.01
5. Step 5: Solve for x
   x = 10,765,833.01/3,755.75
6. Step 6: Final answer
   x = 2,866.50