Finding the Fourth Proportional to 1,024.31, 1,413.55 and 558.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.31 : 1,413.55 = 558.56 : x
2. Step 2: Convert to fraction form
   1,024.31/1,413.55 = 558.56/x
3. Step 3: Cross multiply
   1,024.31x = 1,413.55 × 558.56
4. Step 4: Simplify right side
   1,024.31x = 789,556.72
5. Step 5: Solve for x
   x = 789,556.72/1,024.31
6. Step 6: Final answer
   x = 770.82