Finding the Fourth Proportional to 2,742.49, 3,784.62 and 1,563.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.49 : 3,784.62 = 1,563.54 : x
2. Step 2: Convert to fraction form
   2,742.49/3,784.62 = 1,563.54/x
3. Step 3: Cross multiply
   2,742.49x = 3,784.62 × 1,563.54
4. Step 4: Simplify right side
   2,742.49x = 5,917,404.75
5. Step 5: Solve for x
   x = 5,917,404.75/2,742.49
6. Step 6: Final answer
   x = 2,157.68