Finding the Fourth Proportional to 5,744.27, 8,566.50 and 5,007.98

Step by Step Solution

1. Step 1: Write the proportion equation
   5,744.27 : 8,566.50 = 5,007.98 : x
2. Step 2: Convert to fraction form
   5,744.27/8,566.50 = 5,007.98/x
3. Step 3: Cross multiply
   5,744.27x = 8,566.50 × 5,007.98
4. Step 4: Simplify right side
   5,744.27x = 42,900,817.84
5. Step 5: Solve for x
   x = 42,900,817.84/5,744.27
6. Step 6: Final answer
   x = 7,468.46