Finding the Fourth Proportional to 78.42, 117.50 and 76.52

Step by Step Solution

1. Step 1: Write the proportion equation
   78.42 : 117.50 = 76.52 : x
2. Step 2: Convert to fraction form
   78.42/117.50 = 76.52/x
3. Step 3: Cross multiply
   78.42x = 117.50 × 76.52
4. Step 4: Simplify right side
   78.42x = 8,991.10
5. Step 5: Solve for x
   x = 8,991.10/78.42
6. Step 6: Final answer
   x = 114.65