Finding the Fourth Proportional to 1,413.37, 1,950.43 and 823.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.37 : 1,950.43 = 823.96 : x
2. Step 2: Convert to fraction form
   1,413.37/1,950.43 = 823.96/x
3. Step 3: Cross multiply
   1,413.37x = 1,950.43 × 823.96
4. Step 4: Simplify right side
   1,413.37x = 1,607,062.43
5. Step 5: Solve for x
   x = 1,607,062.43/1,413.37
6. Step 6: Final answer
   x = 1,137.05