Finding the Fourth Proportional to 9,821.25, 13,553.33 and 5,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,821.25 : 13,553.33 = 5,629.50 : x
2. Step 2: Convert to fraction form
   9,821.25/13,553.33 = 5,629.50/x
3. Step 3: Cross multiply
   9,821.25x = 13,553.33 × 5,629.50
4. Step 4: Simplify right side
   9,821.25x = 76,298,443.09
5. Step 5: Solve for x
   x = 76,298,443.09/9,821.25
6. Step 6: Final answer
   x = 7,768.71