Finding the Fourth Proportional to 10,039.50, 13,854.30 and 5,563.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,039.50 : 13,854.30 = 5,563.24 : x
2. Step 2: Convert to fraction form
   10,039.50/13,854.30 = 5,563.24/x
3. Step 3: Cross multiply
   10,039.50x = 13,854.30 × 5,563.24
4. Step 4: Simplify right side
   10,039.50x = 77,074,795.93
5. Step 5: Solve for x
   x = 77,074,795.93/10,039.50
6. Step 6: Final answer
   x = 7,677.15