Finding the Fourth Proportional to 9,769.14, 14,654.62 and 3,530.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,769.14 : 14,654.62 = 3,530.72 : x
2. Step 2: Convert to fraction form
   9,769.14/14,654.62 = 3,530.72/x
3. Step 3: Cross multiply
   9,769.14x = 14,654.62 × 3,530.72
4. Step 4: Simplify right side
   9,769.14x = 51,741,359.93
5. Step 5: Solve for x
   x = 51,741,359.93/9,769.14
6. Step 6: Final answer
   x = 5,296.41