Finding the Fourth Proportional to 2,784.47, 3,842.57 and 1,542.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784.47 : 3,842.57 = 1,542.47 : x
2. Step 2: Convert to fraction form
   2,784.47/3,842.57 = 1,542.47/x
3. Step 3: Cross multiply
   2,784.47x = 3,842.57 × 1,542.47
4. Step 4: Simplify right side
   2,784.47x = 5,927,022.02
5. Step 5: Solve for x
   x = 5,927,022.02/2,784.47
6. Step 6: Final answer
   x = 2,128.60