Finding the Fourth Proportional to 78.12, 116.37 and 76.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78.12 : 116.37 = 76.50 : x
2. Step 2: Convert to fraction form
   78.12/116.37 = 76.50/x
3. Step 3: Cross multiply
   78.12x = 116.37 × 76.50
4. Step 4: Simplify right side
   78.12x = 8,902.31
5. Step 5: Solve for x
   x = 8,902.31/78.12
6. Step 6: Final answer
   x = 113.96