Finding the Fourth Proportional to 10,563.72, 15,848.10 and 3,638.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,563.72 : 15,848.10 = 3,638.28 : x
2. Step 2: Convert to fraction form
   10,563.72/15,848.10 = 3,638.28/x
3. Step 3: Cross multiply
   10,563.72x = 15,848.10 × 3,638.28
4. Step 4: Simplify right side
   10,563.72x = 57,659,825.27
5. Step 5: Solve for x
   x = 57,659,825.27/10,563.72
6. Step 6: Final answer
   x = 5,458.29