Finding the Fourth Proportional to 10,297.43, 14,208.82 and 5,820.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,297.43 : 14,208.82 = 5,820.15 : x
2. Step 2: Convert to fraction form
   10,297.43/14,208.82 = 5,820.15/x
3. Step 3: Cross multiply
   10,297.43x = 14,208.82 × 5,820.15
4. Step 4: Simplify right side
   10,297.43x = 82,697,502.46
5. Step 5: Solve for x
   x = 82,697,502.46/10,297.43
6. Step 6: Final answer
   x = 8,030.89