Finding the Fourth Proportional to 9,828.81, 13,562.24 and 5,636.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,828.81 : 13,562.24 = 5,636.25 : x
2. Step 2: Convert to fraction form
   9,828.81/13,562.24 = 5,636.25/x
3. Step 3: Cross multiply
   9,828.81x = 13,562.24 × 5,636.25
4. Step 4: Simplify right side
   9,828.81x = 76,440,147.02
5. Step 5: Solve for x
   x = 76,440,147.02/9,828.81
6. Step 6: Final answer
   x = 7,777.15