Finding the Fourth Proportional to 1,413.82, 1,950.93 and 784.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.82 : 1,950.93 = 784.24 : x
2. Step 2: Convert to fraction form
   1,413.82/1,950.93 = 784.24/x
3. Step 3: Cross multiply
   1,413.82x = 1,950.93 × 784.24
4. Step 4: Simplify right side
   1,413.82x = 1,529,997.34
5. Step 5: Solve for x
   x = 1,529,997.34/1,413.82
6. Step 6: Final answer
   x = 1,082.17