Finding the Fourth Proportional to 71.76, 107.48 and 42.82

Step by Step Solution

1. Step 1: Write the proportion equation
   71.76 : 107.48 = 42.82 : x
2. Step 2: Convert to fraction form
   71.76/107.48 = 42.82/x
3. Step 3: Cross multiply
   71.76x = 107.48 × 42.82
4. Step 4: Simplify right side
   71.76x = 4,602.13
5. Step 5: Solve for x
   x = 4,602.13/71.76
6. Step 6: Final answer
   x = 64.13