Finding the Fourth Proportional to 2,742.72, 3,785.22 and 1,563.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.72 : 3,785.22 = 1,563.75 : x
2. Step 2: Convert to fraction form
   2,742.72/3,785.22 = 1,563.75/x
3. Step 3: Cross multiply
   2,742.72x = 3,785.22 × 1,563.75
4. Step 4: Simplify right side
   2,742.72x = 5,919,137.78
5. Step 5: Solve for x
   x = 5,919,137.78/2,742.72
6. Step 6: Final answer
   x = 2,158.13