Finding the Fourth Proportional to 10,517.97, 14,514.57 and 5,802.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,517.97 : 14,514.57 = 5,802.25 : x
2. Step 2: Convert to fraction form
   10,517.97/14,514.57 = 5,802.25/x
3. Step 3: Cross multiply
   10,517.97x = 14,514.57 × 5,802.25
4. Step 4: Simplify right side
   10,517.97x = 84,217,134.77
5. Step 5: Solve for x
   x = 84,217,134.77/10,517.97
6. Step 6: Final answer
   x = 8,006.98