Finding the Fourth Proportional to 105.83, 146.00 and 64.38

Step by Step Solution

1. Step 1: Write the proportion equation
   105.83 : 146.00 = 64.38 : x
2. Step 2: Convert to fraction form
   105.83/146.00 = 64.38/x
3. Step 3: Cross multiply
   105.83x = 146.00 × 64.38
4. Step 4: Simplify right side
   105.83x = 9,399.16
5. Step 5: Solve for x
   x = 9,399.16/105.83
6. Step 6: Final answer
   x = 88.82