Finding the Fourth Proportional to 9,828.27, 13,562.84 and 5,636.19

Step by Step Solution

1. Step 1: Write the proportion equation
   9,828.27 : 13,562.84 = 5,636.19 : x
2. Step 2: Convert to fraction form
   9,828.27/13,562.84 = 5,636.19/x
3. Step 3: Cross multiply
   9,828.27x = 13,562.84 × 5,636.19
4. Step 4: Simplify right side
   9,828.27x = 76,442,715.00
5. Step 5: Solve for x
   x = 76,442,715.00/9,828.27
6. Step 6: Final answer
   x = 7,777.84