Finding the Fourth Proportional to 2,784.12, 3,841.86 and 1,542.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784.12 : 3,841.86 = 1,542.12 : x
2. Step 2: Convert to fraction form
   2,784.12/3,841.86 = 1,542.12/x
3. Step 3: Cross multiply
   2,784.12x = 3,841.86 × 1,542.12
4. Step 4: Simplify right side
   2,784.12x = 5,924,609.14
5. Step 5: Solve for x
   x = 5,924,609.14/2,784.12
6. Step 6: Final answer
   x = 2,128.00