Finding the Fourth Proportional to 71.69, 107.56 and 53.69

Step by Step Solution

1. Step 1: Write the proportion equation
   71.69 : 107.56 = 53.69 : x
2. Step 2: Convert to fraction form
   71.69/107.56 = 53.69/x
3. Step 3: Cross multiply
   71.69x = 107.56 × 53.69
4. Step 4: Simplify right side
   71.69x = 5,774.36
5. Step 5: Solve for x
   x = 5,774.36/71.69
6. Step 6: Final answer
   x = 80.55