Finding the Fourth Proportional to 105.95, 146.18 and 59.31

Step by Step Solution

1. Step 1: Write the proportion equation
   105.95 : 146.18 = 59.31 : x
2. Step 2: Convert to fraction form
   105.95/146.18 = 59.31/x
3. Step 3: Cross multiply
   105.95x = 146.18 × 59.31
4. Step 4: Simplify right side
   105.95x = 8,669.64
5. Step 5: Solve for x
   x = 8,669.64/105.95
6. Step 6: Final answer
   x = 81.83