Finding the Fourth Proportional to 83.04, 114.72 and 78.24

Step by Step Solution

1. Step 1: Write the proportion equation
   83.04 : 114.72 = 78.24 : x
2. Step 2: Convert to fraction form
   83.04/114.72 = 78.24/x
3. Step 3: Cross multiply
   83.04x = 114.72 × 78.24
4. Step 4: Simplify right side
   83.04x = 8,975.69
5. Step 5: Solve for x
   x = 8,975.69/83.04
6. Step 6: Final answer
   x = 108.09