Finding the Fourth Proportional to 105.82, 159.15 and 89.62

Step by Step Solution

1. Step 1: Write the proportion equation
   105.82 : 159.15 = 89.62 : x
2. Step 2: Convert to fraction form
   105.82/159.15 = 89.62/x
3. Step 3: Cross multiply
   105.82x = 159.15 × 89.62
4. Step 4: Simplify right side
   105.82x = 14,263.02
5. Step 5: Solve for x
   x = 14,263.02/105.82
6. Step 6: Final answer
   x = 134.79