Finding the Fourth Proportional to 106.31, 146.52 and 78.59

Step by Step Solution

1. Step 1: Write the proportion equation
   106.31 : 146.52 = 78.59 : x
2. Step 2: Convert to fraction form
   106.31/146.52 = 78.59/x
3. Step 3: Cross multiply
   106.31x = 146.52 × 78.59
4. Step 4: Simplify right side
   106.31x = 11,514.27
5. Step 5: Solve for x
   x = 11,514.27/106.31
6. Step 6: Final answer
   x = 108.31