Finding the Fourth Proportional to 10,301.40, 14,214.84 and 5,825.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,301.40 : 14,214.84 = 5,825.04 : x
2. Step 2: Convert to fraction form
   10,301.40/14,214.84 = 5,825.04/x
3. Step 3: Cross multiply
   10,301.40x = 14,214.84 × 5,825.04
4. Step 4: Simplify right side
   10,301.40x = 82,802,011.59
5. Step 5: Solve for x
   x = 82,802,011.59/10,301.40
6. Step 6: Final answer
   x = 8,037.94