Finding the Fourth Proportional to 117.31, 174.71 and 111.10

Step by Step Solution

1. Step 1: Write the proportion equation
   117.31 : 174.71 = 111.10 : x
2. Step 2: Convert to fraction form
   117.31/174.71 = 111.10/x
3. Step 3: Cross multiply
   117.31x = 174.71 × 111.10
4. Step 4: Simplify right side
   117.31x = 19,410.28
5. Step 5: Solve for x
   x = 19,410.28/117.31
6. Step 6: Final answer
   x = 165.46