Finding the Fourth Proportional to 116.50, 174.72 and 78.22

Step by Step Solution

1. Step 1: Write the proportion equation
   116.50 : 174.72 = 78.22 : x
2. Step 2: Convert to fraction form
   116.50/174.72 = 78.22/x
3. Step 3: Cross multiply
   116.50x = 174.72 × 78.22
4. Step 4: Simplify right side
   116.50x = 13,666.60
5. Step 5: Solve for x
   x = 13,666.60/116.50
6. Step 6: Final answer
   x = 117.31