Finding the Fourth Proportional to 105.93, 146.18 and 64.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105.93 : 146.18 = 64.50 : x
2. Step 2: Convert to fraction form
   105.93/146.18 = 64.50/x
3. Step 3: Cross multiply
   105.93x = 146.18 × 64.50
4. Step 4: Simplify right side
   105.93x = 9,428.77
5. Step 5: Solve for x
   x = 9,428.77/105.93
6. Step 6: Final answer
   x = 89.01