Finding the Fourth Proportional to 1,413.72, 1,950.93 and 824.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.72 : 1,950.93 = 824.65 : x
2. Step 2: Convert to fraction form
   1,413.72/1,950.93 = 824.65/x
3. Step 3: Cross multiply
   1,413.72x = 1,950.93 × 824.65
4. Step 4: Simplify right side
   1,413.72x = 1,608,834.42
5. Step 5: Solve for x
   x = 1,608,834.42/1,413.72
6. Step 6: Final answer
   x = 1,138.01