Finding the Fourth Proportional to 1,429.29, 2,142.09 and 1,413.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.29 : 2,142.09 = 1,413.81 : x
2. Step 2: Convert to fraction form
   1,429.29/2,142.09 = 1,413.81/x
3. Step 3: Cross multiply
   1,429.29x = 2,142.09 × 1,413.81
4. Step 4: Simplify right side
   1,429.29x = 3,028,508.26
5. Step 5: Solve for x
   x = 3,028,508.26/1,429.29
6. Step 6: Final answer
   x = 2,118.89