Finding the Fourth Proportional to 6,429.81, 9,644.78 and 2,269.05

Step by Step Solution

1. Step 1: Write the proportion equation
   6,429.81 : 9,644.78 = 2,269.05 : x
2. Step 2: Convert to fraction form
   6,429.81/9,644.78 = 2,269.05/x
3. Step 3: Cross multiply
   6,429.81x = 9,644.78 × 2,269.05
4. Step 4: Simplify right side
   6,429.81x = 21,884,488.06
5. Step 5: Solve for x
   x = 21,884,488.06/6,429.81
6. Step 6: Final answer
   x = 3,403.60