Finding the Fourth Proportional to 2,082.62, 3,120.68 and 1,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.62 : 3,120.68 = 1,311.50 : x
2. Step 2: Convert to fraction form
   2,082.62/3,120.68 = 1,311.50/x
3. Step 3: Cross multiply
   2,082.62x = 3,120.68 × 1,311.50
4. Step 4: Simplify right side
   2,082.62x = 4,092,771.82
5. Step 5: Solve for x
   x = 4,092,771.82/2,082.62
6. Step 6: Final answer
   x = 1,965.20