Finding the Fourth Proportional to 1,413.82, 1,951.59 and 825.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.82 : 1,951.59 = 825.22 : x
2. Step 2: Convert to fraction form
   1,413.82/1,951.59 = 825.22/x
3. Step 3: Cross multiply
   1,413.82x = 1,951.59 × 825.22
4. Step 4: Simplify right side
   1,413.82x = 1,610,491.10
5. Step 5: Solve for x
   x = 1,610,491.10/1,413.82
6. Step 6: Final answer
   x = 1,139.11