Finding the Fourth Proportional to 1,413.24, 1,950.24 and 823.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.24 : 1,950.24 = 823.83 : x
2. Step 2: Convert to fraction form
   1,413.24/1,950.24 = 823.83/x
3. Step 3: Cross multiply
   1,413.24x = 1,950.24 × 823.83
4. Step 4: Simplify right side
   1,413.24x = 1,606,666.22
5. Step 5: Solve for x
   x = 1,606,666.22/1,413.24
6. Step 6: Final answer
   x = 1,136.87