Finding the Fourth Proportional to 28.42, 42.38 and 28.06

Step by Step Solution

1. Step 1: Write the proportion equation
   28.42 : 42.38 = 28.06 : x
2. Step 2: Convert to fraction form
   28.42/42.38 = 28.06/x
3. Step 3: Cross multiply
   28.42x = 42.38 × 28.06
4. Step 4: Simplify right side
   28.42x = 1,189.18
5. Step 5: Solve for x
   x = 1,189.18/28.42
6. Step 6: Final answer
   x = 41.84