Finding the Fourth Proportional to 1,413.28, 1,949.28 and 946.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.28 : 1,949.28 = 946.72 : x
2. Step 2: Convert to fraction form
   1,413.28/1,949.28 = 946.72/x
3. Step 3: Cross multiply
   1,413.28x = 1,949.28 × 946.72
4. Step 4: Simplify right side
   1,413.28x = 1,845,422.36
5. Step 5: Solve for x
   x = 1,845,422.36/1,413.28
6. Step 6: Final answer
   x = 1,305.77