Finding the Fourth Proportional to 10,518.05, 14,514.64 and 5,802.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,518.05 : 14,514.64 = 5,802.23 : x
2. Step 2: Convert to fraction form
   10,518.05/14,514.64 = 5,802.23/x
3. Step 3: Cross multiply
   10,518.05x = 14,514.64 × 5,802.23
4. Step 4: Simplify right side
   10,518.05x = 84,217,301.43
5. Step 5: Solve for x
   x = 84,217,301.43/10,518.05
6. Step 6: Final answer
   x = 8,006.93