Finding the Fourth Proportional to 42.82, 64.24 and 15.76

Step by Step Solution

1. Step 1: Write the proportion equation
   42.82 : 64.24 = 15.76 : x
2. Step 2: Convert to fraction form
   42.82/64.24 = 15.76/x
3. Step 3: Cross multiply
   42.82x = 64.24 × 15.76
4. Step 4: Simplify right side
   42.82x = 1,012.42
5. Step 5: Solve for x
   x = 1,012.42/42.82
6. Step 6: Final answer
   x = 23.64