Finding the Fourth Proportional to 10,517.76, 14,514.52 and 5,802.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,517.76 : 14,514.52 = 5,802.02 : x
2. Step 2: Convert to fraction form
   10,517.76/14,514.52 = 5,802.02/x
3. Step 3: Cross multiply
   10,517.76x = 14,514.52 × 5,802.02
4. Step 4: Simplify right side
   10,517.76x = 84,213,535.33
5. Step 5: Solve for x
   x = 84,213,535.33/10,517.76
6. Step 6: Final answer
   x = 8,006.79