Finding the Fourth Proportional to 105.74, 158.51 and 89.59

Step by Step Solution

1. Step 1: Write the proportion equation
   105.74 : 158.51 = 89.59 : x
2. Step 2: Convert to fraction form
   105.74/158.51 = 89.59/x
3. Step 3: Cross multiply
   105.74x = 158.51 × 89.59
4. Step 4: Simplify right side
   105.74x = 14,200.91
5. Step 5: Solve for x
   x = 14,200.91/105.74
6. Step 6: Final answer
   x = 134.31