Finding the Fourth Proportional to 2,082.53, 3,123.28 and 766.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.53 : 3,123.28 = 766.23 : x
2. Step 2: Convert to fraction form
   2,082.53/3,123.28 = 766.23/x
3. Step 3: Cross multiply
   2,082.53x = 3,123.28 × 766.23
4. Step 4: Simplify right side
   2,082.53x = 2,393,150.83
5. Step 5: Solve for x
   x = 2,393,150.83/2,082.53
6. Step 6: Final answer
   x = 1,149.16