Finding the Fourth Proportional to 2,205.76, 3,043.56 and 1,409.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,205.76 : 3,043.56 = 1,409.80 : x
2. Step 2: Convert to fraction form
   2,205.76/3,043.56 = 1,409.80/x
3. Step 3: Cross multiply
   2,205.76x = 3,043.56 × 1,409.80
4. Step 4: Simplify right side
   2,205.76x = 4,290,810.89
5. Step 5: Solve for x
   x = 4,290,810.89/2,205.76
6. Step 6: Final answer
   x = 1,945.28