Finding the Fourth Proportional to 385.10, 577.52 and 111.10

Step by Step Solution

1. Step 1: Write the proportion equation
   385.10 : 577.52 = 111.10 : x
2. Step 2: Convert to fraction form
   385.10/577.52 = 111.10/x
3. Step 3: Cross multiply
   385.10x = 577.52 × 111.10
4. Step 4: Simplify right side
   385.10x = 64,162.47
5. Step 5: Solve for x
   x = 64,162.47/385.10
6. Step 6: Final answer
   x = 166.61