Finding the Fourth Proportional to 107.69, 148.59 and 64.01

Step by Step Solution

1. Step 1: Write the proportion equation
   107.69 : 148.59 = 64.01 : x
2. Step 2: Convert to fraction form
   107.69/148.59 = 64.01/x
3. Step 3: Cross multiply
   107.69x = 148.59 × 64.01
4. Step 4: Simplify right side
   107.69x = 9,510.50
5. Step 5: Solve for x
   x = 9,510.50/107.69
6. Step 6: Final answer
   x = 88.32