Finding the Fourth Proportional to 10,297.14, 14,208.51 and 5,820.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,297.14 : 14,208.51 = 5,820.86 : x
2. Step 2: Convert to fraction form
   10,297.14/14,208.51 = 5,820.86/x
3. Step 3: Cross multiply
   10,297.14x = 14,208.51 × 5,820.86
4. Step 4: Simplify right side
   10,297.14x = 82,705,676.48
5. Step 5: Solve for x
   x = 82,705,676.48/10,297.14
6. Step 6: Final answer
   x = 8,031.91