Finding the Fourth Proportional to 1,413.02, 1,949.82 and 823.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.02 : 1,949.82 = 823.43 : x
2. Step 2: Convert to fraction form
   1,413.02/1,949.82 = 823.43/x
3. Step 3: Cross multiply
   1,413.02x = 1,949.82 × 823.43
4. Step 4: Simplify right side
   1,413.02x = 1,605,540.28
5. Step 5: Solve for x
   x = 1,605,540.28/1,413.02
6. Step 6: Final answer
   x = 1,136.25