Finding the Fourth Proportional to 2,082.65, 2,874.23 and 1,296.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.65 : 2,874.23 = 1,296.81 : x
2. Step 2: Convert to fraction form
   2,082.65/2,874.23 = 1,296.81/x
3. Step 3: Cross multiply
   2,082.65x = 2,874.23 × 1,296.81
4. Step 4: Simplify right side
   2,082.65x = 3,727,323.72
5. Step 5: Solve for x
   x = 3,727,323.72/2,082.65
6. Step 6: Final answer
   x = 1,789.71