Finding the Fourth Proportional to 105.69, 158.33 and 65.02

Step by Step Solution

1. Step 1: Write the proportion equation
   105.69 : 158.33 = 65.02 : x
2. Step 2: Convert to fraction form
   105.69/158.33 = 65.02/x
3. Step 3: Cross multiply
   105.69x = 158.33 × 65.02
4. Step 4: Simplify right side
   105.69x = 10,294.62
5. Step 5: Solve for x
   x = 10,294.62/105.69
6. Step 6: Final answer
   x = 97.40