Finding the Fourth Proportional to 3,755.62, 5,182.71 and 2,077.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,755.62 : 5,182.71 = 2,077.06 : x
2. Step 2: Convert to fraction form
   3,755.62/5,182.71 = 2,077.06/x
3. Step 3: Cross multiply
   3,755.62x = 5,182.71 × 2,077.06
4. Step 4: Simplify right side
   3,755.62x = 10,764,799.63
5. Step 5: Solve for x
   x = 10,764,799.63/3,755.62
6. Step 6: Final answer
   x = 2,866.32