Finding the Fourth Proportional to 2,082.56, 2,874.24 and 1,296.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.56 : 2,874.24 = 1,296.86 : x
2. Step 2: Convert to fraction form
   2,082.56/2,874.24 = 1,296.86/x
3. Step 3: Cross multiply
   2,082.56x = 2,874.24 × 1,296.86
4. Step 4: Simplify right side
   2,082.56x = 3,727,472.52
5. Step 5: Solve for x
   x = 3,727,472.52/2,082.56
6. Step 6: Final answer
   x = 1,789.86