Finding the Fourth Proportional to 10,530, 14,530.71 and 5,814.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,530 : 14,530.71 = 5,814.24 : x
2. Step 2: Convert to fraction form
   10,530/14,530.71 = 5,814.24/x
3. Step 3: Cross multiply
   10,530x = 14,530.71 × 5,814.24
4. Step 4: Simplify right side
   10,530x = 84,485,035.31
5. Step 5: Solve for x
   x = 84,485,035.31/10,530
6. Step 6: Final answer
   x = 8,023.27