Finding the Fourth Proportional to 2,082.92, 2,875 and 1,296.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.92 : 2,875 = 1,296.50 : x
2. Step 2: Convert to fraction form
   2,082.92/2,875 = 1,296.50/x
3. Step 3: Cross multiply
   2,082.92x = 2,875 × 1,296.50
4. Step 4: Simplify right side
   2,082.92x = 3,727,437.50
5. Step 5: Solve for x
   x = 3,727,437.50/2,082.92
6. Step 6: Final answer
   x = 1,789.53