Finding the Fourth Proportional to 1,413.22, 1,950.24 and 824.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.22 : 1,950.24 = 824.15 : x
2. Step 2: Convert to fraction form
   1,413.22/1,950.24 = 824.15/x
3. Step 3: Cross multiply
   1,413.22x = 1,950.24 × 824.15
4. Step 4: Simplify right side
   1,413.22x = 1,607,290.30
5. Step 5: Solve for x
   x = 1,607,290.30/1,413.22
6. Step 6: Final answer
   x = 1,137.32