Finding the Fourth Proportional to 9,674.64, 14,499.81 and 3,429.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,674.64 : 14,499.81 = 3,429.54 : x
2. Step 2: Convert to fraction form
   9,674.64/14,499.81 = 3,429.54/x
3. Step 3: Cross multiply
   9,674.64x = 14,499.81 × 3,429.54
4. Step 4: Simplify right side
   9,674.64x = 49,727,678.39
5. Step 5: Solve for x
   x = 49,727,678.39/9,674.64
6. Step 6: Final answer
   x = 5,140.00