Finding the Fourth Proportional to 2,429.71, 3,646.33 and 969.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,429.71 : 3,646.33 = 969.28 : x
2. Step 2: Convert to fraction form
   2,429.71/3,646.33 = 969.28/x
3. Step 3: Cross multiply
   2,429.71x = 3,646.33 × 969.28
4. Step 4: Simplify right side
   2,429.71x = 3,534,296.51
5. Step 5: Solve for x
   x = 3,534,296.51/2,429.71
6. Step 6: Final answer
   x = 1,454.62