Finding the Fourth Proportional to 105.98, 158.70 and 75.74

Step by Step Solution

1. Step 1: Write the proportion equation
   105.98 : 158.70 = 75.74 : x
2. Step 2: Convert to fraction form
   105.98/158.70 = 75.74/x
3. Step 3: Cross multiply
   105.98x = 158.70 × 75.74
4. Step 4: Simplify right side
   105.98x = 12,019.94
5. Step 5: Solve for x
   x = 12,019.94/105.98
6. Step 6: Final answer
   x = 113.42