Finding the Fourth Proportional to 1,024.34, 1,413.54 and 558.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.34 : 1,413.54 = 558.59 : x
2. Step 2: Convert to fraction form
   1,024.34/1,413.54 = 558.59/x
3. Step 3: Cross multiply
   1,024.34x = 1,413.54 × 558.59
4. Step 4: Simplify right side
   1,024.34x = 789,582.24
5. Step 5: Solve for x
   x = 789,582.24/1,024.34
6. Step 6: Final answer
   x = 770.82