Finding the Fourth Proportional to 1,783.71, 2,465.78 and 1,413.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,783.71 : 2,465.78 = 1,413.27 : x
2. Step 2: Convert to fraction form
   1,783.71/2,465.78 = 1,413.27/x
3. Step 3: Cross multiply
   1,783.71x = 2,465.78 × 1,413.27
4. Step 4: Simplify right side
   1,783.71x = 3,484,805.83
5. Step 5: Solve for x
   x = 3,484,805.83/1,783.71
6. Step 6: Final answer
   x = 1,953.68