Finding the Fourth Proportional to 105.82, 145.99 and 59.18

Step by Step Solution

1. Step 1: Write the proportion equation
   105.82 : 145.99 = 59.18 : x
2. Step 2: Convert to fraction form
   105.82/145.99 = 59.18/x
3. Step 3: Cross multiply
   105.82x = 145.99 × 59.18
4. Step 4: Simplify right side
   105.82x = 8,640.20
5. Step 5: Solve for x
   x = 8,640.20/105.82
6. Step 6: Final answer
   x = 81.65