Finding the Fourth Proportional to 10,514.31, 14,508.57 and 5,797.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,514.31 : 14,508.57 = 5,797.68 : x
2. Step 2: Convert to fraction form
   10,514.31/14,508.57 = 5,797.68/x
3. Step 3: Cross multiply
   10,514.31x = 14,508.57 × 5,797.68
4. Step 4: Simplify right side
   10,514.31x = 84,116,046.12
5. Step 5: Solve for x
   x = 84,116,046.12/10,514.31
6. Step 6: Final answer
   x = 8,000.15