Finding the Fourth Proportional to 28.52, 42.56 and 24.02

Step by Step Solution

1. Step 1: Write the proportion equation
   28.52 : 42.56 = 24.02 : x
2. Step 2: Convert to fraction form
   28.52/42.56 = 24.02/x
3. Step 3: Cross multiply
   28.52x = 42.56 × 24.02
4. Step 4: Simplify right side
   28.52x = 1,022.29
5. Step 5: Solve for x
   x = 1,022.29/28.52
6. Step 6: Final answer
   x = 35.84