Finding the Fourth Proportional to 71.82, 99.09 and 55.42

Step by Step Solution

1. Step 1: Write the proportion equation
   71.82 : 99.09 = 55.42 : x
2. Step 2: Convert to fraction form
   71.82/99.09 = 55.42/x
3. Step 3: Cross multiply
   71.82x = 99.09 × 55.42
4. Step 4: Simplify right side
   71.82x = 5,491.32
5. Step 5: Solve for x
   x = 5,491.32/71.82
6. Step 6: Final answer
   x = 76.46