Finding the Fourth Proportional to 2,456.20, 3,676.20 and 1,905.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456.20 : 3,676.20 = 1,905.40 : x
2. Step 2: Convert to fraction form
   2,456.20/3,676.20 = 1,905.40/x
3. Step 3: Cross multiply
   2,456.20x = 3,676.20 × 1,905.40
4. Step 4: Simplify right side
   2,456.20x = 7,004,631.48
5. Step 5: Solve for x
   x = 7,004,631.48/2,456.20
6. Step 6: Final answer
   x = 2,851.82