Finding the Fourth Proportional to 78.23, 117.34 and 32.55

Step by Step Solution

1. Step 1: Write the proportion equation
   78.23 : 117.34 = 32.55 : x
2. Step 2: Convert to fraction form
   78.23/117.34 = 32.55/x
3. Step 3: Cross multiply
   78.23x = 117.34 × 32.55
4. Step 4: Simplify right side
   78.23x = 3,819.42
5. Step 5: Solve for x
   x = 3,819.42/78.23
6. Step 6: Final answer
   x = 48.82