Finding the Fourth Proportional to 10,038.94, 13,854.24 and 5,563.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,038.94 : 13,854.24 = 5,563.18 : x
2. Step 2: Convert to fraction form
   10,038.94/13,854.24 = 5,563.18/x
3. Step 3: Cross multiply
   10,038.94x = 13,854.24 × 5,563.18
4. Step 4: Simplify right side
   10,038.94x = 77,073,630.88
5. Step 5: Solve for x
   x = 77,073,630.88/10,038.94
6. Step 6: Final answer
   x = 7,677.47