Finding the Fourth Proportional to 10,297.67, 14,210.63 and 5,821.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,297.67 : 14,210.63 = 5,821.27 : x
2. Step 2: Convert to fraction form
   10,297.67/14,210.63 = 5,821.27/x
3. Step 3: Cross multiply
   10,297.67x = 14,210.63 × 5,821.27
4. Step 4: Simplify right side
   10,297.67x = 82,723,914.10
5. Step 5: Solve for x
   x = 82,723,914.10/10,297.67
6. Step 6: Final answer
   x = 8,033.27