Finding the Fourth Proportional to 1,413.57, 1,950.68 and 784.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.57 : 1,950.68 = 784.13 : x
2. Step 2: Convert to fraction form
   1,413.57/1,950.68 = 784.13/x
3. Step 3: Cross multiply
   1,413.57x = 1,950.68 × 784.13
4. Step 4: Simplify right side
   1,413.57x = 1,529,573.03
5. Step 5: Solve for x
   x = 1,529,573.03/1,413.57
6. Step 6: Final answer
   x = 1,082.06