Finding the Fourth Proportional to 9,830.72, 13,563.28 and 5,638.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830.72 : 13,563.28 = 5,638.24 : x
2. Step 2: Convert to fraction form
   9,830.72/13,563.28 = 5,638.24/x
3. Step 3: Cross multiply
   9,830.72x = 13,563.28 × 5,638.24
4. Step 4: Simplify right side
   9,830.72x = 76,473,027.83
5. Step 5: Solve for x
   x = 76,473,027.83/9,830.72
6. Step 6: Final answer
   x = 7,778.99