Finding the Fourth Proportional to 105.08, 144.93 and 86.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105.08 : 144.93 = 86.50 : x
2. Step 2: Convert to fraction form
   105.08/144.93 = 86.50/x
3. Step 3: Cross multiply
   105.08x = 144.93 × 86.50
4. Step 4: Simplify right side
   105.08x = 12,535.29
5. Step 5: Solve for x
   x = 12,535.29/105.08
6. Step 6: Final answer
   x = 119.29