Finding the Fourth Proportional to 2,196.40, 3,029.46 and 1,409.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,196.40 : 3,029.46 = 1,409.68 : x
2. Step 2: Convert to fraction form
   2,196.40/3,029.46 = 1,409.68/x
3. Step 3: Cross multiply
   2,196.40x = 3,029.46 × 1,409.68
4. Step 4: Simplify right side
   2,196.40x = 4,270,569.17
5. Step 5: Solve for x
   x = 4,270,569.17/2,196.40
6. Step 6: Final answer
   x = 1,944.35