Finding the Fourth Proportional to 5,736.96, 7,909.45 and 4,142.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,736.96 : 7,909.45 = 4,142.27 : x
2. Step 2: Convert to fraction form
   5,736.96/7,909.45 = 4,142.27/x
3. Step 3: Cross multiply
   5,736.96x = 7,909.45 × 4,142.27
4. Step 4: Simplify right side
   5,736.96x = 32,763,086.87
5. Step 5: Solve for x
   x = 32,763,086.87/5,736.96
6. Step 6: Final answer
   x = 5,710.88