Finding the Fourth Proportional to 5,735.81, 8,559.39 and 5,114.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,735.81 : 8,559.39 = 5,114.56 : x
2. Step 2: Convert to fraction form
   5,735.81/8,559.39 = 5,114.56/x
3. Step 3: Cross multiply
   5,735.81x = 8,559.39 × 5,114.56
4. Step 4: Simplify right side
   5,735.81x = 43,777,498.78
5. Step 5: Solve for x
   x = 43,777,498.78/5,735.81
6. Step 6: Final answer
   x = 7,632.31