Finding the Fourth Proportional to 10,298.00, 14,210.69 and 5,821.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.00 : 14,210.69 = 5,821.48 : x
2. Step 2: Convert to fraction form
   10,298.00/14,210.69 = 5,821.48/x
3. Step 3: Cross multiply
   10,298.00x = 14,210.69 × 5,821.48
4. Step 4: Simplify right side
   10,298.00x = 82,727,254.04
5. Step 5: Solve for x
   x = 82,727,254.04/10,298.00
6. Step 6: Final answer
   x = 8,033.33