Finding the Fourth Proportional to 105.57, 158.33 and 75.05

Step by Step Solution

1. Step 1: Write the proportion equation
   105.57 : 158.33 = 75.05 : x
2. Step 2: Convert to fraction form
   105.57/158.33 = 75.05/x
3. Step 3: Cross multiply
   105.57x = 158.33 × 75.05
4. Step 4: Simplify right side
   105.57x = 11,881.50
5. Step 5: Solve for x
   x = 11,881.50/105.57
6. Step 6: Final answer
   x = 112.55