Finding the Fourth Proportional to 2,592.93, 3,578.24 and 1,414.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.93 : 3,578.24 = 1,414.00 : x
2. Step 2: Convert to fraction form
   2,592.93/3,578.24 = 1,414.00/x
3. Step 3: Cross multiply
   2,592.93x = 3,578.24 × 1,414.00
4. Step 4: Simplify right side
   2,592.93x = 5,059,606.40
5. Step 5: Solve for x
   x = 5,059,606.40/2,592.93
6. Step 6: Final answer
   x = 1,951.31