Finding the Fourth Proportional to 105.10, 144.81 and 78.83

Step by Step Solution

1. Step 1: Write the proportion equation
   105.10 : 144.81 = 78.83 : x
2. Step 2: Convert to fraction form
   105.10/144.81 = 78.83/x
3. Step 3: Cross multiply
   105.10x = 144.81 × 78.83
4. Step 4: Simplify right side
   105.10x = 11,415.78
5. Step 5: Solve for x
   x = 11,415.78/105.10
6. Step 6: Final answer
   x = 108.62