Finding the Fourth Proportional to 106.34, 146.71 and 64.89

Step by Step Solution

1. Step 1: Write the proportion equation
   106.34 : 146.71 = 64.89 : x
2. Step 2: Convert to fraction form
   106.34/146.71 = 64.89/x
3. Step 3: Cross multiply
   106.34x = 146.71 × 64.89
4. Step 4: Simplify right side
   106.34x = 9,520.01
5. Step 5: Solve for x
   x = 9,520.01/106.34
6. Step 6: Final answer
   x = 89.52