Finding the Fourth Proportional to 9,821.17, 13,555.02 and 5,629.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,821.17 : 13,555.02 = 5,629.42 : x
2. Step 2: Convert to fraction form
   9,821.17/13,555.02 = 5,629.42/x
3. Step 3: Cross multiply
   9,821.17x = 13,555.02 × 5,629.42
4. Step 4: Simplify right side
   9,821.17x = 76,306,900.69
5. Step 5: Solve for x
   x = 76,306,900.69/9,821.17
6. Step 6: Final answer
   x = 7,769.63