Finding the Fourth Proportional to 3,680.10, 5,077.27 and 2,086.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,680.10 : 5,077.27 = 2,086.52 : x
2. Step 2: Convert to fraction form
   3,680.10/5,077.27 = 2,086.52/x
3. Step 3: Cross multiply
   3,680.10x = 5,077.27 × 2,086.52
4. Step 4: Simplify right side
   3,680.10x = 10,593,825.40
5. Step 5: Solve for x
   x = 10,593,825.40/3,680.10
6. Step 6: Final answer
   x = 2,878.68