Finding the Fourth Proportional to 105.98, 146.25 and 59.35

Step by Step Solution

1. Step 1: Write the proportion equation
   105.98 : 146.25 = 59.35 : x
2. Step 2: Convert to fraction form
   105.98/146.25 = 59.35/x
3. Step 3: Cross multiply
   105.98x = 146.25 × 59.35
4. Step 4: Simplify right side
   105.98x = 8,679.94
5. Step 5: Solve for x
   x = 8,679.94/105.98
6. Step 6: Final answer
   x = 81.90