Finding the Fourth Proportional to 2,562.54, 3,842.05 and 919.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.54 : 3,842.05 = 919.05 : x
2. Step 2: Convert to fraction form
   2,562.54/3,842.05 = 919.05/x
3. Step 3: Cross multiply
   2,562.54x = 3,842.05 × 919.05
4. Step 4: Simplify right side
   2,562.54x = 3,531,036.05
5. Step 5: Solve for x
   x = 3,531,036.05/2,562.54
6. Step 6: Final answer
   x = 1,377.94