Finding the Fourth Proportional to 105.97, 159.06 and 65.47

Step by Step Solution

1. Step 1: Write the proportion equation
   105.97 : 159.06 = 65.47 : x
2. Step 2: Convert to fraction form
   105.97/159.06 = 65.47/x
3. Step 3: Cross multiply
   105.97x = 159.06 × 65.47
4. Step 4: Simplify right side
   105.97x = 10,413.33
5. Step 5: Solve for x
   x = 10,413.33/105.97
6. Step 6: Final answer
   x = 98.27