Finding the Fourth Proportional to 1,413.64, 1,950.69 and 824.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.64 : 1,950.69 = 824.05 : x
2. Step 2: Convert to fraction form
   1,413.64/1,950.69 = 824.05/x
3. Step 3: Cross multiply
   1,413.64x = 1,950.69 × 824.05
4. Step 4: Simplify right side
   1,413.64x = 1,607,466.09
5. Step 5: Solve for x
   x = 1,607,466.09/1,413.64
6. Step 6: Final answer
   x = 1,137.11