Finding the Fourth Proportional to 10,517.67, 14,514.48 and 5,802.03

Step by Step Solution

1. Step 1: Write the proportion equation
   10,517.67 : 14,514.48 = 5,802.03 : x
2. Step 2: Convert to fraction form
   10,517.67/14,514.48 = 5,802.03/x
3. Step 3: Cross multiply
   10,517.67x = 14,514.48 × 5,802.03
4. Step 4: Simplify right side
   10,517.67x = 84,213,448.39
5. Step 5: Solve for x
   x = 84,213,448.39/10,517.67
6. Step 6: Final answer
   x = 8,006.85