Finding the Fourth Proportional to 3,540.06, 5,311.83 and 2,506.71

Step by Step Solution

1. Step 1: Write the proportion equation
   3,540.06 : 5,311.83 = 2,506.71 : x
2. Step 2: Convert to fraction form
   3,540.06/5,311.83 = 2,506.71/x
3. Step 3: Cross multiply
   3,540.06x = 5,311.83 × 2,506.71
4. Step 4: Simplify right side
   3,540.06x = 13,315,217.38
5. Step 5: Solve for x
   x = 13,315,217.38/3,540.06
6. Step 6: Final answer
   x = 3,761.30