Finding the Fourth Proportional to 105.89, 158.49 and 65.12

Step by Step Solution

1. Step 1: Write the proportion equation
   105.89 : 158.49 = 65.12 : x
2. Step 2: Convert to fraction form
   105.89/158.49 = 65.12/x
3. Step 3: Cross multiply
   105.89x = 158.49 × 65.12
4. Step 4: Simplify right side
   105.89x = 10,320.87
5. Step 5: Solve for x
   x = 10,320.87/105.89
6. Step 6: Final answer
   x = 97.47