Finding the Fourth Proportional to 106.78, 147.31 and 71.82

Step by Step Solution

1. Step 1: Write the proportion equation
   106.78 : 147.31 = 71.82 : x
2. Step 2: Convert to fraction form
   106.78/147.31 = 71.82/x
3. Step 3: Cross multiply
   106.78x = 147.31 × 71.82
4. Step 4: Simplify right side
   106.78x = 10,579.80
5. Step 5: Solve for x
   x = 10,579.80/106.78
6. Step 6: Final answer
   x = 99.08