Finding the Fourth Proportional to 385.34, 578.06 and 111.42

Step by Step Solution

1. Step 1: Write the proportion equation
   385.34 : 578.06 = 111.42 : x
2. Step 2: Convert to fraction form
   385.34/578.06 = 111.42/x
3. Step 3: Cross multiply
   385.34x = 578.06 × 111.42
4. Step 4: Simplify right side
   385.34x = 64,406.89
5. Step 5: Solve for x
   x = 64,406.89/385.34
6. Step 6: Final answer
   x = 167.15