Finding the Fourth Proportional to 6,469.98, 9,696.69 and 5,633.61

Step by Step Solution

1. Step 1: Write the proportion equation
   6,469.98 : 9,696.69 = 5,633.61 : x
2. Step 2: Convert to fraction form
   6,469.98/9,696.69 = 5,633.61/x
3. Step 3: Cross multiply
   6,469.98x = 9,696.69 × 5,633.61
4. Step 4: Simplify right side
   6,469.98x = 54,627,369.75
5. Step 5: Solve for x
   x = 54,627,369.75/6,469.98
6. Step 6: Final answer
   x = 8,443.21