Finding the Fourth Proportional to 5,636.24, 7,769.75 and 3,952.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,636.24 : 7,769.75 = 3,952.56 : x
2. Step 2: Convert to fraction form
   5,636.24/7,769.75 = 3,952.56/x
3. Step 3: Cross multiply
   5,636.24x = 7,769.75 × 3,952.56
4. Step 4: Simplify right side
   5,636.24x = 30,710,383.30
5. Step 5: Solve for x
   x = 30,710,383.30/5,636.24
6. Step 6: Final answer
   x = 5,448.74