Finding the Fourth Proportional to 1,024.45, 1,413.72 and 558.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.45 : 1,413.72 = 558.70 : x
2. Step 2: Convert to fraction form
   1,024.45/1,413.72 = 558.70/x
3. Step 3: Cross multiply
   1,024.45x = 1,413.72 × 558.70
4. Step 4: Simplify right side
   1,024.45x = 789,845.36
5. Step 5: Solve for x
   x = 789,845.36/1,024.45
6. Step 6: Final answer
   x = 770.99