Finding the Fourth Proportional to 2,784.63, 3,842.79 and 1,542.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784.63 : 3,842.79 = 1,542.63 : x
2. Step 2: Convert to fraction form
   2,784.63/3,842.79 = 1,542.63/x
3. Step 3: Cross multiply
   2,784.63x = 3,842.79 × 1,542.63
4. Step 4: Simplify right side
   2,784.63x = 5,928,003.14
5. Step 5: Solve for x
   x = 5,928,003.14/2,784.63
6. Step 6: Final answer
   x = 2,128.83