Finding the Fourth Proportional to 3,851.10, 5,314.50 and 2,082.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,851.10 : 5,314.50 = 2,082.69 : x
2. Step 2: Convert to fraction form
   3,851.10/5,314.50 = 2,082.69/x
3. Step 3: Cross multiply
   3,851.10x = 5,314.50 × 2,082.69
4. Step 4: Simplify right side
   3,851.10x = 11,068,456.01
5. Step 5: Solve for x
   x = 11,068,456.01/3,851.10
6. Step 6: Final answer
   x = 2,874.10