Finding the Fourth Proportional to 185.82, 278.69 and 116.37

Step by Step Solution

1. Step 1: Write the proportion equation
   185.82 : 278.69 = 116.37 : x
2. Step 2: Convert to fraction form
   185.82/278.69 = 116.37/x
3. Step 3: Cross multiply
   185.82x = 278.69 × 116.37
4. Step 4: Simplify right side
   185.82x = 32,432.40
5. Step 5: Solve for x
   x = 32,432.40/185.82
6. Step 6: Final answer
   x = 174.54