Finding the Fourth Proportional to 185.82, 256.38 and 120.31

Step by Step Solution

1. Step 1: Write the proportion equation
   185.82 : 256.38 = 120.31 : x
2. Step 2: Convert to fraction form
   185.82/256.38 = 120.31/x
3. Step 3: Cross multiply
   185.82x = 256.38 × 120.31
4. Step 4: Simplify right side
   185.82x = 30,845.08
5. Step 5: Solve for x
   x = 30,845.08/185.82
6. Step 6: Final answer
   x = 165.99