Finding the Fourth Proportional to 1,413.55, 1,950.83 and 784.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.55 : 1,950.83 = 784.23 : x
2. Step 2: Convert to fraction form
   1,413.55/1,950.83 = 784.23/x
3. Step 3: Cross multiply
   1,413.55x = 1,950.83 × 784.23
4. Step 4: Simplify right side
   1,413.55x = 1,529,899.41
5. Step 5: Solve for x
   x = 1,529,899.41/1,413.55
6. Step 6: Final answer
   x = 1,082.31