Finding the Fourth Proportional to 2,411.78, 3,614.84 and 1,024.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,411.78 : 3,614.84 = 1,024.25 : x
2. Step 2: Convert to fraction form
   2,411.78/3,614.84 = 1,024.25/x
3. Step 3: Cross multiply
   2,411.78x = 3,614.84 × 1,024.25
4. Step 4: Simplify right side
   2,411.78x = 3,702,494.75
5. Step 5: Solve for x
   x = 3,702,494.75/2,411.78
6. Step 6: Final answer
   x = 1,535.17