Finding the Fourth Proportional to 105.76, 145.98 and 64.33

Step by Step Solution

1. Step 1: Write the proportion equation
   105.76 : 145.98 = 64.33 : x
2. Step 2: Convert to fraction form
   105.76/145.98 = 64.33/x
3. Step 3: Cross multiply
   105.76x = 145.98 × 64.33
4. Step 4: Simplify right side
   105.76x = 9,390.89
5. Step 5: Solve for x
   x = 9,390.89/105.76
6. Step 6: Final answer
   x = 88.79