Finding the Fourth Proportional to 10,301.11, 14,215.82 and 5,825.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,301.11 : 14,215.82 = 5,825.53 : x
2. Step 2: Convert to fraction form
   10,301.11/14,215.82 = 5,825.53/x
3. Step 3: Cross multiply
   10,301.11x = 14,215.82 × 5,825.53
4. Step 4: Simplify right side
   10,301.11x = 82,814,674.53
5. Step 5: Solve for x
   x = 82,814,674.53/10,301.11
6. Step 6: Final answer
   x = 8,039.39