Finding the Fourth Proportional to 103.02, 142.02 and 76.82

Step by Step Solution

1. Step 1: Write the proportion equation
   103.02 : 142.02 = 76.82 : x
2. Step 2: Convert to fraction form
   103.02/142.02 = 76.82/x
3. Step 3: Cross multiply
   103.02x = 142.02 × 76.82
4. Step 4: Simplify right side
   103.02x = 10,909.27
5. Step 5: Solve for x
   x = 10,909.27/103.02
6. Step 6: Final answer
   x = 105.89