Finding the Fourth Proportional to 105.98, 146.21 and 64.52

Step by Step Solution

1. Step 1: Write the proportion equation
   105.98 : 146.21 = 64.52 : x
2. Step 2: Convert to fraction form
   105.98/146.21 = 64.52/x
3. Step 3: Cross multiply
   105.98x = 146.21 × 64.52
4. Step 4: Simplify right side
   105.98x = 9,432.90
5. Step 5: Solve for x
   x = 9,432.90/105.98
6. Step 6: Final answer
   x = 89.00