Finding the Fourth Proportional to 1,413.63, 1,950.82 and 784.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.63 : 1,950.82 = 784.16 : x
2. Step 2: Convert to fraction form
   1,413.63/1,950.82 = 784.16/x
3. Step 3: Cross multiply
   1,413.63x = 1,950.82 × 784.16
4. Step 4: Simplify right side
   1,413.63x = 1,529,755.01
5. Step 5: Solve for x
   x = 1,529,755.01/1,413.63
6. Step 6: Final answer
   x = 1,082.15