Finding the Fourth Proportional to 105.71, 145.89 and 59.09

Step by Step Solution

1. Step 1: Write the proportion equation
   105.71 : 145.89 = 59.09 : x
2. Step 2: Convert to fraction form
   105.71/145.89 = 59.09/x
3. Step 3: Cross multiply
   105.71x = 145.89 × 59.09
4. Step 4: Simplify right side
   105.71x = 8,620.42
5. Step 5: Solve for x
   x = 8,620.42/105.71
6. Step 6: Final answer
   x = 81.55