Finding the Fourth Proportional to 114.42, 171.72 and 71.76

Step by Step Solution

1. Step 1: Write the proportion equation
   114.42 : 171.72 = 71.76 : x
2. Step 2: Convert to fraction form
   114.42/171.72 = 71.76/x
3. Step 3: Cross multiply
   114.42x = 171.72 × 71.76
4. Step 4: Simplify right side
   114.42x = 12,322.63
5. Step 5: Solve for x
   x = 12,322.63/114.42
6. Step 6: Final answer
   x = 107.70