Finding the Fourth Proportional to 78.05, 116.31 and 76.56

Step by Step Solution

1. Step 1: Write the proportion equation
   78.05 : 116.31 = 76.56 : x
2. Step 2: Convert to fraction form
   78.05/116.31 = 76.56/x
3. Step 3: Cross multiply
   78.05x = 116.31 × 76.56
4. Step 4: Simplify right side
   78.05x = 8,904.69
5. Step 5: Solve for x
   x = 8,904.69/78.05
6. Step 6: Final answer
   x = 114.10