Finding the Fourth Proportional to 2,784.04, 3,842.02 and 1,542.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784.04 : 3,842.02 = 1,542.12 : x
2. Step 2: Convert to fraction form
   2,784.04/3,842.02 = 1,542.12/x
3. Step 3: Cross multiply
   2,784.04x = 3,842.02 × 1,542.12
4. Step 4: Simplify right side
   2,784.04x = 5,924,855.88
5. Step 5: Solve for x
   x = 5,924,855.88/2,784.04
6. Step 6: Final answer
   x = 2,128.15