Finding the Fourth Proportional to 2,744.50, 3,784.06 and 2,080.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,744.50 : 3,784.06 = 2,080.19 : x
2. Step 2: Convert to fraction form
   2,744.50/3,784.06 = 2,080.19/x
3. Step 3: Cross multiply
   2,744.50x = 3,784.06 × 2,080.19
4. Step 4: Simplify right side
   2,744.50x = 7,871,563.77
5. Step 5: Solve for x
   x = 7,871,563.77/2,744.50
6. Step 6: Final answer
   x = 2,868.12