Finding the Fourth Proportional to 9,768.69, 14,644.13 and 3,527.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768.69 : 14,644.13 = 3,527.33 : x
2. Step 2: Convert to fraction form
   9,768.69/14,644.13 = 3,527.33/x
3. Step 3: Cross multiply
   9,768.69x = 14,644.13 × 3,527.33
4. Step 4: Simplify right side
   9,768.69x = 51,654,588.22
5. Step 5: Solve for x
   x = 51,654,588.22/9,768.69
6. Step 6: Final answer
   x = 5,287.77