Finding the Fourth Proportional to 1,413.53, 1,950.79 and 784.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.53 : 1,950.79 = 784.26 : x
2. Step 2: Convert to fraction form
   1,413.53/1,950.79 = 784.26/x
3. Step 3: Cross multiply
   1,413.53x = 1,950.79 × 784.26
4. Step 4: Simplify right side
   1,413.53x = 1,529,926.57
5. Step 5: Solve for x
   x = 1,529,926.57/1,413.53
6. Step 6: Final answer
   x = 1,082.34