Finding the Fourth Proportional to 105.91, 158.69 and 75.42

Step by Step Solution

1. Step 1: Write the proportion equation
   105.91 : 158.69 = 75.42 : x
2. Step 2: Convert to fraction form
   105.91/158.69 = 75.42/x
3. Step 3: Cross multiply
   105.91x = 158.69 × 75.42
4. Step 4: Simplify right side
   105.91x = 11,968.59
5. Step 5: Solve for x
   x = 11,968.59/105.91
6. Step 6: Final answer
   x = 113.01