Finding the Fourth Proportional to 71.69, 107.59 and 35.63

Step by Step Solution

1. Step 1: Write the proportion equation
   71.69 : 107.59 = 35.63 : x
2. Step 2: Convert to fraction form
   71.69/107.59 = 35.63/x
3. Step 3: Cross multiply
   71.69x = 107.59 × 35.63
4. Step 4: Simplify right side
   71.69x = 3,832.80
5. Step 5: Solve for x
   x = 3,832.80/71.69
6. Step 6: Final answer
   x = 53.46