Finding the Fourth Proportional to 28.69, 42.72 and 27.82

Step by Step Solution

1. Step 1: Write the proportion equation
   28.69 : 42.72 = 27.82 : x
2. Step 2: Convert to fraction form
   28.69/42.72 = 27.82/x
3. Step 3: Cross multiply
   28.69x = 42.72 × 27.82
4. Step 4: Simplify right side
   28.69x = 1,188.47
5. Step 5: Solve for x
   x = 1,188.47/28.69
6. Step 6: Final answer
   x = 41.42