Finding the Fourth Proportional to 78.42, 117.63 and 32.76

Step by Step Solution

1. Step 1: Write the proportion equation
   78.42 : 117.63 = 32.76 : x
2. Step 2: Convert to fraction form
   78.42/117.63 = 32.76/x
3. Step 3: Cross multiply
   78.42x = 117.63 × 32.76
4. Step 4: Simplify right side
   78.42x = 3,853.56
5. Step 5: Solve for x
   x = 3,853.56/78.42
6. Step 6: Final answer
   x = 49.14