Finding the Fourth Proportional to 1,413.38, 1,950.54 and 823.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.38 : 1,950.54 = 823.88 : x
2. Step 2: Convert to fraction form
   1,413.38/1,950.54 = 823.88/x
3. Step 3: Cross multiply
   1,413.38x = 1,950.54 × 823.88
4. Step 4: Simplify right side
   1,413.38x = 1,607,010.90
5. Step 5: Solve for x
   x = 1,607,010.90/1,413.38
6. Step 6: Final answer
   x = 1,137.00