Finding the Fourth Proportional to 10,519.49, 14,517.17 and 5,739.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,519.49 : 14,517.17 = 5,739.52 : x
2. Step 2: Convert to fraction form
   10,519.49/14,517.17 = 5,739.52/x
3. Step 3: Cross multiply
   10,519.49x = 14,517.17 × 5,739.52
4. Step 4: Simplify right side
   10,519.49x = 83,321,587.56
5. Step 5: Solve for x
   x = 83,321,587.56/10,519.49
6. Step 6: Final answer
   x = 7,920.69