Finding the Fourth Proportional to 106.31, 146.72 and 59.69

Step by Step Solution

1. Step 1: Write the proportion equation
   106.31 : 146.72 = 59.69 : x
2. Step 2: Convert to fraction form
   106.31/146.72 = 59.69/x
3. Step 3: Cross multiply
   106.31x = 146.72 × 59.69
4. Step 4: Simplify right side
   106.31x = 8,758.23
5. Step 5: Solve for x
   x = 8,758.23/106.31
6. Step 6: Final answer
   x = 82.38