Finding the Fourth Proportional to 78.42, 117.57 and 29.67

Step by Step Solution

1. Step 1: Write the proportion equation
   78.42 : 117.57 = 29.67 : x
2. Step 2: Convert to fraction form
   78.42/117.57 = 29.67/x
3. Step 3: Cross multiply
   78.42x = 117.57 × 29.67
4. Step 4: Simplify right side
   78.42x = 3,488.30
5. Step 5: Solve for x
   x = 3,488.30/78.42
6. Step 6: Final answer
   x = 44.48