Finding the Fourth Proportional to 78.04, 116.86 and 76.72

Step by Step Solution

1. Step 1: Write the proportion equation
   78.04 : 116.86 = 76.72 : x
2. Step 2: Convert to fraction form
   78.04/116.86 = 76.72/x
3. Step 3: Cross multiply
   78.04x = 116.86 × 76.72
4. Step 4: Simplify right side
   78.04x = 8,965.50
5. Step 5: Solve for x
   x = 8,965.50/78.04
6. Step 6: Final answer
   x = 114.88