Finding the Fourth Proportional to 42.69, 64.00 and 24.42

Step by Step Solution

1. Step 1: Write the proportion equation
   42.69 : 64.00 = 24.42 : x
2. Step 2: Convert to fraction form
   42.69/64.00 = 24.42/x
3. Step 3: Cross multiply
   42.69x = 64.00 × 24.42
4. Step 4: Simplify right side
   42.69x = 1,562.76
5. Step 5: Solve for x
   x = 1,562.76/42.69
6. Step 6: Final answer
   x = 36.61