Finding the Fourth Proportional to 9,828.28, 13,563.12 and 5,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,828.28 : 13,563.12 = 5,636.50 : x
2. Step 2: Convert to fraction form
   9,828.28/13,563.12 = 5,636.50/x
3. Step 3: Cross multiply
   9,828.28x = 13,563.12 × 5,636.50
4. Step 4: Simplify right side
   9,828.28x = 76,448,525.88
5. Step 5: Solve for x
   x = 76,448,525.88/9,828.28
6. Step 6: Final answer
   x = 7,778.42