Finding the Fourth Proportional to 3,685.10, 5,086.60 and 2,505.94

Step by Step Solution

1. Step 1: Write the proportion equation
   3,685.10 : 5,086.60 = 2,505.94 : x
2. Step 2: Convert to fraction form
   3,685.10/5,086.60 = 2,505.94/x
3. Step 3: Cross multiply
   3,685.10x = 5,086.60 × 2,505.94
4. Step 4: Simplify right side
   3,685.10x = 12,746,695.42
5. Step 5: Solve for x
   x = 12,746,695.42/3,685.10
6. Step 6: Final answer
   x = 3,458.99