Finding the Fourth Proportional to 3,686.72, 5,081.90 and 2,505.74

Step by Step Solution

1. Step 1: Write the proportion equation
   3,686.72 : 5,081.90 = 2,505.74 : x
2. Step 2: Convert to fraction form
   3,686.72/5,081.90 = 2,505.74/x
3. Step 3: Cross multiply
   3,686.72x = 5,081.90 × 2,505.74
4. Step 4: Simplify right side
   3,686.72x = 12,733,920.11
5. Step 5: Solve for x
   x = 12,733,920.11/3,686.72
6. Step 6: Final answer
   x = 3,454.00