Finding the Fourth Proportional to 1,413.62, 1,950.39 and 824.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.62 : 1,950.39 = 824.04 : x
2. Step 2: Convert to fraction form
   1,413.62/1,950.39 = 824.04/x
3. Step 3: Cross multiply
   1,413.62x = 1,950.39 × 824.04
4. Step 4: Simplify right side
   1,413.62x = 1,607,199.38
5. Step 5: Solve for x
   x = 1,607,199.38/1,413.62
6. Step 6: Final answer
   x = 1,136.94