Finding the Fourth Proportional to 10,300.50, 14,214.64 and 5,824.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.50 : 14,214.64 = 5,824.26 : x
2. Step 2: Convert to fraction form
   10,300.50/14,214.64 = 5,824.26/x
3. Step 3: Cross multiply
   10,300.50x = 14,214.64 × 5,824.26
4. Step 4: Simplify right side
   10,300.50x = 82,789,730.05
5. Step 5: Solve for x
   x = 82,789,730.05/10,300.50
6. Step 6: Final answer
   x = 8,037.45