Finding the Fourth Proportional to 28.64, 42.78 and 24.09

Step by Step Solution

1. Step 1: Write the proportion equation
   28.64 : 42.78 = 24.09 : x
2. Step 2: Convert to fraction form
   28.64/42.78 = 24.09/x
3. Step 3: Cross multiply
   28.64x = 42.78 × 24.09
4. Step 4: Simplify right side
   28.64x = 1,030.50
5. Step 5: Solve for x
   x = 1,030.50/28.64
6. Step 6: Final answer
   x = 35.98