Finding the Fourth Proportional to 10,039.43, 13,854.20 and 5,563.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,039.43 : 13,854.20 = 5,563.14 : x
2. Step 2: Convert to fraction form
   10,039.43/13,854.20 = 5,563.14/x
3. Step 3: Cross multiply
   10,039.43x = 13,854.20 × 5,563.14
4. Step 4: Simplify right side
   10,039.43x = 77,072,826.37
5. Step 5: Solve for x
   x = 77,072,826.37/10,039.43
6. Step 6: Final answer
   x = 7,677.02