Finding the Fourth Proportional to 2,742.28, 3,784.10 and 1,563.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.28 : 3,784.10 = 1,563.24 : x
2. Step 2: Convert to fraction form
   2,742.28/3,784.10 = 1,563.24/x
3. Step 3: Cross multiply
   2,742.28x = 3,784.10 × 1,563.24
4. Step 4: Simplify right side
   2,742.28x = 5,915,456.48
5. Step 5: Solve for x
   x = 5,915,456.48/2,742.28
6. Step 6: Final answer
   x = 2,157.13