Finding the Fourth Proportional to 106.30, 146.72 and 69.46

Step by Step Solution

1. Step 1: Write the proportion equation
   106.30 : 146.72 = 69.46 : x
2. Step 2: Convert to fraction form
   106.30/146.72 = 69.46/x
3. Step 3: Cross multiply
   106.30x = 146.72 × 69.46
4. Step 4: Simplify right side
   106.30x = 10,191.17
5. Step 5: Solve for x
   x = 10,191.17/106.30
6. Step 6: Final answer
   x = 95.87