Finding the Fourth Proportional to 10,301.27, 14,215.77 and 5,824.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,301.27 : 14,215.77 = 5,824.62 : x
2. Step 2: Convert to fraction form
   10,301.27/14,215.77 = 5,824.62/x
3. Step 3: Cross multiply
   10,301.27x = 14,215.77 × 5,824.62
4. Step 4: Simplify right side
   10,301.27x = 82,801,458.26
5. Step 5: Solve for x
   x = 82,801,458.26/10,301.27
6. Step 6: Final answer
   x = 8,037.99