Finding the Fourth Proportional to 10,517.78, 14,514.69 and 5,802.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,517.78 : 14,514.69 = 5,802.06 : x
2. Step 2: Convert to fraction form
   10,517.78/14,514.69 = 5,802.06/x
3. Step 3: Cross multiply
   10,517.78x = 14,514.69 × 5,802.06
4. Step 4: Simplify right side
   10,517.78x = 84,215,029.69
5. Step 5: Solve for x
   x = 84,215,029.69/10,517.78
6. Step 6: Final answer
   x = 8,006.92