Finding the Fourth Proportional to 1,578.50, 2,366.48 and 1,023.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,578.50 : 2,366.48 = 1,023.78 : x
2. Step 2: Convert to fraction form
   1,578.50/2,366.48 = 1,023.78/x
3. Step 3: Cross multiply
   1,578.50x = 2,366.48 × 1,023.78
4. Step 4: Simplify right side
   1,578.50x = 2,422,754.89
5. Step 5: Solve for x
   x = 2,422,754.89/1,578.50
6. Step 6: Final answer
   x = 1,534.85