Finding the Fourth Proportional to 3,755.62, 5,182.59 and 2,077.09

Step by Step Solution

1. Step 1: Write the proportion equation
   3,755.62 : 5,182.59 = 2,077.09 : x
2. Step 2: Convert to fraction form
   3,755.62/5,182.59 = 2,077.09/x
3. Step 3: Cross multiply
   3,755.62x = 5,182.59 × 2,077.09
4. Step 4: Simplify right side
   3,755.62x = 10,764,705.86
5. Step 5: Solve for x
   x = 10,764,705.86/3,755.62
6. Step 6: Final answer
   x = 2,866.29