Finding the Fourth Proportional to 1,413.42, 1,950.62 and 784.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.42 : 1,950.62 = 784.05 : x
2. Step 2: Convert to fraction form
   1,413.42/1,950.62 = 784.05/x
3. Step 3: Cross multiply
   1,413.42x = 1,950.62 × 784.05
4. Step 4: Simplify right side
   1,413.42x = 1,529,379.69
5. Step 5: Solve for x
   x = 1,529,379.69/1,413.42
6. Step 6: Final answer
   x = 1,082.04