Finding the Fourth Proportional to 2,742, 3,784.10 and 1,563.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742 : 3,784.10 = 1,563.18 : x
2. Step 2: Convert to fraction form
   2,742/3,784.10 = 1,563.18/x
3. Step 3: Cross multiply
   2,742x = 3,784.10 × 1,563.18
4. Step 4: Simplify right side
   2,742x = 5,915,221.62
5. Step 5: Solve for x
   x = 5,915,221.62/2,742
6. Step 6: Final answer
   x = 2,157.27