Finding the Fourth Proportional to 106.32, 146.72 and 59.69

Step by Step Solution

1. Step 1: Write the proportion equation
   106.32 : 146.72 = 59.69 : x
2. Step 2: Convert to fraction form
   106.32/146.72 = 59.69/x
3. Step 3: Cross multiply
   106.32x = 146.72 × 59.69
4. Step 4: Simplify right side
   106.32x = 8,757.13
5. Step 5: Solve for x
   x = 8,757.13/106.32
6. Step 6: Final answer
   x = 82.37