Finding the Fourth Proportional to 105.39, 158.01 and 76.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105.39 : 158.01 = 76.50 : x
2. Step 2: Convert to fraction form
   105.39/158.01 = 76.50/x
3. Step 3: Cross multiply
   105.39x = 158.01 × 76.50
4. Step 4: Simplify right side
   105.39x = 12,087.77
5. Step 5: Solve for x
   x = 12,087.77/105.39
6. Step 6: Final answer
   x = 114.70