Finding the Fourth Proportional to 7,816.38, 10,771.02 and 5,574.30

Step by Step Solution

1. Step 1: Write the proportion equation
   7,816.38 : 10,771.02 = 5,574.30 : x
2. Step 2: Convert to fraction form
   7,816.38/10,771.02 = 5,574.30/x
3. Step 3: Cross multiply
   7,816.38x = 10,771.02 × 5,574.30
4. Step 4: Simplify right side
   7,816.38x = 60,040,896.79
5. Step 5: Solve for x
   x = 60,040,896.79/7,816.38
6. Step 6: Final answer
   x = 7,681.42