Finding the Fourth Proportional to 71.69, 107.60 and 55.76

Step by Step Solution

1. Step 1: Write the proportion equation
   71.69 : 107.60 = 55.76 : x
2. Step 2: Convert to fraction form
   71.69/107.60 = 55.76/x
3. Step 3: Cross multiply
   71.69x = 107.60 × 55.76
4. Step 4: Simplify right side
   71.69x = 5,998.96
5. Step 5: Solve for x
   x = 5,998.96/71.69
6. Step 6: Final answer
   x = 83.69