Finding the Fourth Proportional to 2,410.78, 3,615.40 and 1,024.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,410.78 : 3,615.40 = 1,024.06 : x
2. Step 2: Convert to fraction form
   2,410.78/3,615.40 = 1,024.06/x
3. Step 3: Cross multiply
   2,410.78x = 3,615.40 × 1,024.06
4. Step 4: Simplify right side
   2,410.78x = 3,702,386.52
5. Step 5: Solve for x
   x = 3,702,386.52/2,410.78
6. Step 6: Final answer
   x = 1,535.76