Finding the Fourth Proportional to 105.54, 145.59 and 83.67

Step by Step Solution

1. Step 1: Write the proportion equation
   105.54 : 145.59 = 83.67 : x
2. Step 2: Convert to fraction form
   105.54/145.59 = 83.67/x
3. Step 3: Cross multiply
   105.54x = 145.59 × 83.67
4. Step 4: Simplify right side
   105.54x = 12,181.52
5. Step 5: Solve for x
   x = 12,181.52/105.54
6. Step 6: Final answer
   x = 115.42