Finding the Fourth Proportional to 1,413.35, 1,950.68 and 824.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.35 : 1,950.68 = 824.07 : x
2. Step 2: Convert to fraction form
   1,413.35/1,950.68 = 824.07/x
3. Step 3: Cross multiply
   1,413.35x = 1,950.68 × 824.07
4. Step 4: Simplify right side
   1,413.35x = 1,607,506.24
5. Step 5: Solve for x
   x = 1,607,506.24/1,413.35
6. Step 6: Final answer
   x = 1,137.37