Finding the Fourth Proportional to 1,062.86, 1,594.56 and 413.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,062.86 : 1,594.56 = 413.78 : x
2. Step 2: Convert to fraction form
   1,062.86/1,594.56 = 413.78/x
3. Step 3: Cross multiply
   1,062.86x = 1,594.56 × 413.78
4. Step 4: Simplify right side
   1,062.86x = 659,797.04
5. Step 5: Solve for x
   x = 659,797.04/1,062.86
6. Step 6: Final answer
   x = 620.78