Finding the Fourth Proportional to 1,413.47, 1,950.57 and 783.99

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.47 : 1,950.57 = 783.99 : x
2. Step 2: Convert to fraction form
   1,413.47/1,950.57 = 783.99/x
3. Step 3: Cross multiply
   1,413.47x = 1,950.57 × 783.99
4. Step 4: Simplify right side
   1,413.47x = 1,529,227.37
5. Step 5: Solve for x
   x = 1,529,227.37/1,413.47
6. Step 6: Final answer
   x = 1,081.90