Finding the Fourth Proportional to 9,828.56, 13,563.72 and 5,636.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,828.56 : 13,563.72 = 5,636.81 : x
2. Step 2: Convert to fraction form
   9,828.56/13,563.72 = 5,636.81/x
3. Step 3: Cross multiply
   9,828.56x = 13,563.72 × 5,636.81
4. Step 4: Simplify right side
   9,828.56x = 76,456,146.44
5. Step 5: Solve for x
   x = 76,456,146.44/9,828.56
6. Step 6: Final answer
   x = 7,778.98