Finding the Fourth Proportional to 1,413.56, 1,950.42 and 824.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.56 : 1,950.42 = 824.06 : x
2. Step 2: Convert to fraction form
   1,413.56/1,950.42 = 824.06/x
3. Step 3: Cross multiply
   1,413.56x = 1,950.42 × 824.06
4. Step 4: Simplify right side
   1,413.56x = 1,607,263.11
5. Step 5: Solve for x
   x = 1,607,263.11/1,413.56
6. Step 6: Final answer
   x = 1,137.03