Finding the Fourth Proportional to 10,354.26, 14,288.72 and 5,638.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.26 : 14,288.72 = 5,638.54 : x
2. Step 2: Convert to fraction form
   10,354.26/14,288.72 = 5,638.54/x
3. Step 3: Cross multiply
   10,354.26x = 14,288.72 × 5,638.54
4. Step 4: Simplify right side
   10,354.26x = 80,567,519.27
5. Step 5: Solve for x
   x = 80,567,519.27/10,354.26
6. Step 6: Final answer
   x = 7,781.10