Finding the Fourth Proportional to 2,593.12, 3,578.46 and 1,414.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,593.12 : 3,578.46 = 1,414.18 : x
2. Step 2: Convert to fraction form
   2,593.12/3,578.46 = 1,414.18/x
3. Step 3: Cross multiply
   2,593.12x = 3,578.46 × 1,414.18
4. Step 4: Simplify right side
   2,593.12x = 5,060,586.56
5. Step 5: Solve for x
   x = 5,060,586.56/2,593.12
6. Step 6: Final answer
   x = 1,951.54