Finding the Fourth Proportional to 1,413.56, 1,950.61 and 784.11

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.56 : 1,950.61 = 784.11 : x
2. Step 2: Convert to fraction form
   1,413.56/1,950.61 = 784.11/x
3. Step 3: Cross multiply
   1,413.56x = 1,950.61 × 784.11
4. Step 4: Simplify right side
   1,413.56x = 1,529,485.97
5. Step 5: Solve for x
   x = 1,529,485.97/1,413.56
6. Step 6: Final answer
   x = 1,082.01