Finding the Fourth Proportional to 2,049.68, 3,085.46 and 1,838

Step by Step Solution

1. Step 1: Write the proportion equation
   2,049.68 : 3,085.46 = 1,838 : x
2. Step 2: Convert to fraction form
   2,049.68/3,085.46 = 1,838/x
3. Step 3: Cross multiply
   2,049.68x = 3,085.46 × 1,838
4. Step 4: Simplify right side
   2,049.68x = 5,671,075.48
5. Step 5: Solve for x
   x = 5,671,075.48/2,049.68
6. Step 6: Final answer
   x = 2,766.81