Finding the Fourth Proportional to 385.93, 578.83 and 111.98

Step by Step Solution

1. Step 1: Write the proportion equation
   385.93 : 578.83 = 111.98 : x
2. Step 2: Convert to fraction form
   385.93/578.83 = 111.98/x
3. Step 3: Cross multiply
   385.93x = 578.83 × 111.98
4. Step 4: Simplify right side
   385.93x = 64,819.23
5. Step 5: Solve for x
   x = 64,819.23/385.93
6. Step 6: Final answer
   x = 167.96