Finding the Fourth Proportional to 9,828, 13,562.56 and 5,636.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,828 : 13,562.56 = 5,636.16 : x
2. Step 2: Convert to fraction form
   9,828/13,562.56 = 5,636.16/x
3. Step 3: Cross multiply
   9,828x = 13,562.56 × 5,636.16
4. Step 4: Simplify right side
   9,828x = 76,440,758.17
5. Step 5: Solve for x
   x = 76,440,758.17/9,828
6. Step 6: Final answer
   x = 7,777.85