Finding the Fourth Proportional to 1,413.59, 1,950.71 and 784.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.59 : 1,950.71 = 784.13 : x
2. Step 2: Convert to fraction form
   1,413.59/1,950.71 = 784.13/x
3. Step 3: Cross multiply
   1,413.59x = 1,950.71 × 784.13
4. Step 4: Simplify right side
   1,413.59x = 1,529,603.87
5. Step 5: Solve for x
   x = 1,529,603.87/1,413.59
6. Step 6: Final answer
   x = 1,082.07