Finding the Fourth Proportional to 1,413.34, 1,950.02 and 823.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.34 : 1,950.02 = 823.80 : x
2. Step 2: Convert to fraction form
   1,413.34/1,950.02 = 823.80/x
3. Step 3: Cross multiply
   1,413.34x = 1,950.02 × 823.80
4. Step 4: Simplify right side
   1,413.34x = 1,606,426.48
5. Step 5: Solve for x
   x = 1,606,426.48/1,413.34
6. Step 6: Final answer
   x = 1,136.62