Finding the Fourth Proportional to 105.14, 144.77 and 83.10

Step by Step Solution

1. Step 1: Write the proportion equation
   105.14 : 144.77 = 83.10 : x
2. Step 2: Convert to fraction form
   105.14/144.77 = 83.10/x
3. Step 3: Cross multiply
   105.14x = 144.77 × 83.10
4. Step 4: Simplify right side
   105.14x = 12,030.39
5. Step 5: Solve for x
   x = 12,030.39/105.14
6. Step 6: Final answer
   x = 114.42