Finding the Fourth Proportional to 105.82, 145.98 and 62.16

Step by Step Solution

1. Step 1: Write the proportion equation
   105.82 : 145.98 = 62.16 : x
2. Step 2: Convert to fraction form
   105.82/145.98 = 62.16/x
3. Step 3: Cross multiply
   105.82x = 145.98 × 62.16
4. Step 4: Simplify right side
   105.82x = 9,074.12
5. Step 5: Solve for x
   x = 9,074.12/105.82
6. Step 6: Final answer
   x = 85.75