Finding the Fourth Proportional to 1,413.50, 1,950.54 and 784.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.50 : 1,950.54 = 784.04 : x
2. Step 2: Convert to fraction form
   1,413.50/1,950.54 = 784.04/x
3. Step 3: Cross multiply
   1,413.50x = 1,950.54 × 784.04
4. Step 4: Simplify right side
   1,413.50x = 1,529,301.38
5. Step 5: Solve for x
   x = 1,529,301.38/1,413.50
6. Step 6: Final answer
   x = 1,081.93