Finding the Fourth Proportional to 10,298.43, 14,210.20 and 5,821.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.43 : 14,210.20 = 5,821.15 : x
2. Step 2: Convert to fraction form
   10,298.43/14,210.20 = 5,821.15/x
3. Step 3: Cross multiply
   10,298.43x = 14,210.20 × 5,821.15
4. Step 4: Simplify right side
   10,298.43x = 82,719,705.73
5. Step 5: Solve for x
   x = 82,719,705.73/10,298.43
6. Step 6: Final answer
   x = 8,032.26