Finding the Fourth Proportional to 2,784.78, 3,842.94 and 1,542.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784.78 : 3,842.94 = 1,542.78 : x
2. Step 2: Convert to fraction form
   2,784.78/3,842.94 = 1,542.78/x
3. Step 3: Cross multiply
   2,784.78x = 3,842.94 × 1,542.78
4. Step 4: Simplify right side
   2,784.78x = 5,928,810.97
5. Step 5: Solve for x
   x = 5,928,810.97/2,784.78
6. Step 6: Final answer
   x = 2,129.01