Finding the Fourth Proportional to 1,413.52, 1,950.51 and 823.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.52 : 1,950.51 = 823.93 : x
2. Step 2: Convert to fraction form
   1,413.52/1,950.51 = 823.93/x
3. Step 3: Cross multiply
   1,413.52x = 1,950.51 × 823.93
4. Step 4: Simplify right side
   1,413.52x = 1,607,083.70
5. Step 5: Solve for x
   x = 1,607,083.70/1,413.52
6. Step 6: Final answer
   x = 1,136.94