Finding the Fourth Proportional to 1,413.16, 1,950.34 and 861.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.16 : 1,950.34 = 861.48 : x
2. Step 2: Convert to fraction form
   1,413.16/1,950.34 = 861.48/x
3. Step 3: Cross multiply
   1,413.16x = 1,950.34 × 861.48
4. Step 4: Simplify right side
   1,413.16x = 1,680,178.90
5. Step 5: Solve for x
   x = 1,680,178.90/1,413.16
6. Step 6: Final answer
   x = 1,188.95