Finding the Fourth Proportional to 2,339.78, 3,509.82 and 1,023.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,339.78 : 3,509.82 = 1,023.57 : x
2. Step 2: Convert to fraction form
   2,339.78/3,509.82 = 1,023.57/x
3. Step 3: Cross multiply
   2,339.78x = 3,509.82 × 1,023.57
4. Step 4: Simplify right side
   2,339.78x = 3,592,546.46
5. Step 5: Solve for x
   x = 3,592,546.46/2,339.78
6. Step 6: Final answer
   x = 1,535.42