Finding the Fourth Proportional to 2,082.53, 2,872.50 and 1,514.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.53 : 2,872.50 = 1,514.41 : x
2. Step 2: Convert to fraction form
   2,082.53/2,872.50 = 1,514.41/x
3. Step 3: Cross multiply
   2,082.53x = 2,872.50 × 1,514.41
4. Step 4: Simplify right side
   2,082.53x = 4,350,142.73
5. Step 5: Solve for x
   x = 4,350,142.73/2,082.53
6. Step 6: Final answer
   x = 2,088.87