Finding the Fourth Proportional to 5,635.86, 7,769.22 and 3,952.18

Step by Step Solution

1. Step 1: Write the proportion equation
   5,635.86 : 7,769.22 = 3,952.18 : x
2. Step 2: Convert to fraction form
   5,635.86/7,769.22 = 3,952.18/x
3. Step 3: Cross multiply
   5,635.86x = 7,769.22 × 3,952.18
4. Step 4: Simplify right side
   5,635.86x = 30,705,355.90
5. Step 5: Solve for x
   x = 30,705,355.90/5,635.86
6. Step 6: Final answer
   x = 5,448.21