Finding the Fourth Proportional to 105.24, 145.20 and 83.37

Step by Step Solution

1. Step 1: Write the proportion equation
   105.24 : 145.20 = 83.37 : x
2. Step 2: Convert to fraction form
   105.24/145.20 = 83.37/x
3. Step 3: Cross multiply
   105.24x = 145.20 × 83.37
4. Step 4: Simplify right side
   105.24x = 12,105.32
5. Step 5: Solve for x
   x = 12,105.32/105.24
6. Step 6: Final answer
   x = 115.03