Finding the Fourth Proportional to 10,509.82, 14,503.50 and 5,794

Step by Step Solution

1. Step 1: Write the proportion equation
   10,509.82 : 14,503.50 = 5,794 : x
2. Step 2: Convert to fraction form
   10,509.82/14,503.50 = 5,794/x
3. Step 3: Cross multiply
   10,509.82x = 14,503.50 × 5,794
4. Step 4: Simplify right side
   10,509.82x = 84,033,279
5. Step 5: Solve for x
   x = 84,033,279/10,509.82
6. Step 6: Final answer
   x = 7,995.69