Finding the Fourth Proportional to 105.74, 158.71 and 76.58

Step by Step Solution

1. Step 1: Write the proportion equation
   105.74 : 158.71 = 76.58 : x
2. Step 2: Convert to fraction form
   105.74/158.71 = 76.58/x
3. Step 3: Cross multiply
   105.74x = 158.71 × 76.58
4. Step 4: Simplify right side
   105.74x = 12,154.01
5. Step 5: Solve for x
   x = 12,154.01/105.74
6. Step 6: Final answer
   x = 114.94