Finding the Fourth Proportional to 2,742.82, 3,785.31 and 1,563.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.82 : 3,785.31 = 1,563.62 : x
2. Step 2: Convert to fraction form
   2,742.82/3,785.31 = 1,563.62/x
3. Step 3: Cross multiply
   2,742.82x = 3,785.31 × 1,563.62
4. Step 4: Simplify right side
   2,742.82x = 5,918,786.42
5. Step 5: Solve for x
   x = 5,918,786.42/2,742.82
6. Step 6: Final answer
   x = 2,157.92