Finding the Fourth Proportional to 10,389, 14,336.90 and 5,673.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,389 : 14,336.90 = 5,673.28 : x
2. Step 2: Convert to fraction form
   10,389/14,336.90 = 5,673.28/x
3. Step 3: Cross multiply
   10,389x = 14,336.90 × 5,673.28
4. Step 4: Simplify right side
   10,389x = 81,337,255.51
5. Step 5: Solve for x
   x = 81,337,255.51/10,389
6. Step 6: Final answer
   x = 7,829.17