Finding the Fourth Proportional to 28.29, 42.35 and 24.00

Step by Step Solution

1. Step 1: Write the proportion equation
   28.29 : 42.35 = 24.00 : x
2. Step 2: Convert to fraction form
   28.29/42.35 = 24.00/x
3. Step 3: Cross multiply
   28.29x = 42.35 × 24.00
4. Step 4: Simplify right side
   28.29x = 1,016.30
5. Step 5: Solve for x
   x = 1,016.30/28.29
6. Step 6: Final answer
   x = 35.93