Finding the Fourth Proportional to 1,413.29, 1,952.16 and 1,085.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.29 : 1,952.16 = 1,085.75 : x
2. Step 2: Convert to fraction form
   1,413.29/1,952.16 = 1,085.75/x
3. Step 3: Cross multiply
   1,413.29x = 1,952.16 × 1,085.75
4. Step 4: Simplify right side
   1,413.29x = 2,119,543.89
5. Step 5: Solve for x
   x = 2,119,543.89/1,413.29
6. Step 6: Final answer
   x = 1,499.72