Finding the Fourth Proportional to 2,742.02, 3,784.09 and 1,563.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.02 : 3,784.09 = 1,563.06 : x
2. Step 2: Convert to fraction form
   2,742.02/3,784.09 = 1,563.06/x
3. Step 3: Cross multiply
   2,742.02x = 3,784.09 × 1,563.06
4. Step 4: Simplify right side
   2,742.02x = 5,914,759.72
5. Step 5: Solve for x
   x = 5,914,759.72/2,742.02
6. Step 6: Final answer
   x = 2,157.08