Finding the Fourth Proportional to 105.83, 158.67 and 65.33

Step by Step Solution

1. Step 1: Write the proportion equation
   105.83 : 158.67 = 65.33 : x
2. Step 2: Convert to fraction form
   105.83/158.67 = 65.33/x
3. Step 3: Cross multiply
   105.83x = 158.67 × 65.33
4. Step 4: Simplify right side
   105.83x = 10,365.12
5. Step 5: Solve for x
   x = 10,365.12/105.83
6. Step 6: Final answer
   x = 97.95