Finding the Fourth Proportional to 1,413.32, 1,950.23 and 783.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.32 : 1,950.23 = 783.78 : x
2. Step 2: Convert to fraction form
   1,413.32/1,950.23 = 783.78/x
3. Step 3: Cross multiply
   1,413.32x = 1,950.23 × 783.78
4. Step 4: Simplify right side
   1,413.32x = 1,528,551.27
5. Step 5: Solve for x
   x = 1,528,551.27/1,413.32
6. Step 6: Final answer
   x = 1,081.53