Finding the Fourth Proportional to 2,784.50, 3,842.86 and 1,542.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784.50 : 3,842.86 = 1,542.74 : x
2. Step 2: Convert to fraction form
   2,784.50/3,842.86 = 1,542.74/x
3. Step 3: Cross multiply
   2,784.50x = 3,842.86 × 1,542.74
4. Step 4: Simplify right side
   2,784.50x = 5,928,533.84
5. Step 5: Solve for x
   x = 5,928,533.84/2,784.50
6. Step 6: Final answer
   x = 2,129.12