Finding the Fourth Proportional to 105.92, 146.17 and 59.30

Step by Step Solution

1. Step 1: Write the proportion equation
   105.92 : 146.17 = 59.30 : x
2. Step 2: Convert to fraction form
   105.92/146.17 = 59.30/x
3. Step 3: Cross multiply
   105.92x = 146.17 × 59.30
4. Step 4: Simplify right side
   105.92x = 8,667.88
5. Step 5: Solve for x
   x = 8,667.88/105.92
6. Step 6: Final answer
   x = 81.83