Finding the Fourth Proportional to 2,742.10, 3,784.02 and 1,563.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.10 : 3,784.02 = 1,563.14 : x
2. Step 2: Convert to fraction form
   2,742.10/3,784.02 = 1,563.14/x
3. Step 3: Cross multiply
   2,742.10x = 3,784.02 × 1,563.14
4. Step 4: Simplify right side
   2,742.10x = 5,914,953.02
5. Step 5: Solve for x
   x = 5,914,953.02/2,742.10
6. Step 6: Final answer
   x = 2,157.09