Finding the Fourth Proportional to 2,742.34, 3,783.90 and 1,563.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.34 : 3,783.90 = 1,563.38 : x
2. Step 2: Convert to fraction form
   2,742.34/3,783.90 = 1,563.38/x
3. Step 3: Cross multiply
   2,742.34x = 3,783.90 × 1,563.38
4. Step 4: Simplify right side
   2,742.34x = 5,915,673.58
5. Step 5: Solve for x
   x = 5,915,673.58/2,742.34
6. Step 6: Final answer
   x = 2,157.16