Finding the Fourth Proportional to 47.68, 71.52 and 42.12

Step by Step Solution

1. Step 1: Write the proportion equation
   47.68 : 71.52 = 42.12 : x
2. Step 2: Convert to fraction form
   47.68/71.52 = 42.12/x
3. Step 3: Cross multiply
   47.68x = 71.52 × 42.12
4. Step 4: Simplify right side
   47.68x = 3,012.42
5. Step 5: Solve for x
   x = 3,012.42/47.68
6. Step 6: Final answer
   x = 63.18