Finding the Fourth Proportional to 10,300.40, 14,214.49 and 5,824.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.40 : 14,214.49 = 5,824.17 : x
2. Step 2: Convert to fraction form
   10,300.40/14,214.49 = 5,824.17/x
3. Step 3: Cross multiply
   10,300.40x = 14,214.49 × 5,824.17
4. Step 4: Simplify right side
   10,300.40x = 82,787,606.22
5. Step 5: Solve for x
   x = 82,787,606.22/10,300.40
6. Step 6: Final answer
   x = 8,037.32