Finding the Fourth Proportional to 9,828.42, 13,562.69 and 5,636.67

Step by Step Solution

1. Step 1: Write the proportion equation
   9,828.42 : 13,562.69 = 5,636.67 : x
2. Step 2: Convert to fraction form
   9,828.42/13,562.69 = 5,636.67/x
3. Step 3: Cross multiply
   9,828.42x = 13,562.69 × 5,636.67
4. Step 4: Simplify right side
   9,828.42x = 76,448,379.66
5. Step 5: Solve for x
   x = 76,448,379.66/9,828.42
6. Step 6: Final answer
   x = 7,778.30