Finding the Fourth Proportional to 78.32, 117.24 and 42.14

Step by Step Solution

1. Step 1: Write the proportion equation
   78.32 : 117.24 = 42.14 : x
2. Step 2: Convert to fraction form
   78.32/117.24 = 42.14/x
3. Step 3: Cross multiply
   78.32x = 117.24 × 42.14
4. Step 4: Simplify right side
   78.32x = 4,940.49
5. Step 5: Solve for x
   x = 4,940.49/78.32
6. Step 6: Final answer
   x = 63.08