Finding the Fourth Proportional to 10,004.82, 13,807.46 and 5,757.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004.82 : 13,807.46 = 5,757.24 : x
2. Step 2: Convert to fraction form
   10,004.82/13,807.46 = 5,757.24/x
3. Step 3: Cross multiply
   10,004.82x = 13,807.46 × 5,757.24
4. Step 4: Simplify right side
   10,004.82x = 79,492,861.01
5. Step 5: Solve for x
   x = 79,492,861.01/10,004.82
6. Step 6: Final answer
   x = 7,945.46