Finding the Fourth Proportional to 9,825, 14,744.16 and 3,669

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825 : 14,744.16 = 3,669 : x
2. Step 2: Convert to fraction form
   9,825/14,744.16 = 3,669/x
3. Step 3: Cross multiply
   9,825x = 14,744.16 × 3,669
4. Step 4: Simplify right side
   9,825x = 54,096,323.04
5. Step 5: Solve for x
   x = 54,096,323.04/9,825
6. Step 6: Final answer
   x = 5,505.99