Finding the Fourth Proportional to 1,413.60, 1,950.32 and 824.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.60 : 1,950.32 = 824.02 : x
2. Step 2: Convert to fraction form
   1,413.60/1,950.32 = 824.02/x
3. Step 3: Cross multiply
   1,413.60x = 1,950.32 × 824.02
4. Step 4: Simplify right side
   1,413.60x = 1,607,102.69
5. Step 5: Solve for x
   x = 1,607,102.69/1,413.60
6. Step 6: Final answer
   x = 1,136.89