Finding the Fourth Proportional to 10,004.27, 13,807.10 and 5,756.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004.27 : 13,807.10 = 5,756.31 : x
2. Step 2: Convert to fraction form
   10,004.27/13,807.10 = 5,756.31/x
3. Step 3: Cross multiply
   10,004.27x = 13,807.10 × 5,756.31
4. Step 4: Simplify right side
   10,004.27x = 79,477,962.19
5. Step 5: Solve for x
   x = 79,477,962.19/10,004.27
6. Step 6: Final answer
   x = 7,944.41