Finding the Fourth Proportional to 116.78, 174.56 and 82.31

Step by Step Solution

1. Step 1: Write the proportion equation
   116.78 : 174.56 = 82.31 : x
2. Step 2: Convert to fraction form
   116.78/174.56 = 82.31/x
3. Step 3: Cross multiply
   116.78x = 174.56 × 82.31
4. Step 4: Simplify right side
   116.78x = 14,368.03
5. Step 5: Solve for x
   x = 14,368.03/116.78
6. Step 6: Final answer
   x = 123.04