Finding the Fourth Proportional to 1,413.10, 2,115.96 and 1,085.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.10 : 2,115.96 = 1,085.14 : x
2. Step 2: Convert to fraction form
   1,413.10/2,115.96 = 1,085.14/x
3. Step 3: Cross multiply
   1,413.10x = 2,115.96 × 1,085.14
4. Step 4: Simplify right side
   1,413.10x = 2,296,112.83
5. Step 5: Solve for x
   x = 2,296,112.83/1,413.10
6. Step 6: Final answer
   x = 1,624.88