Finding the Fourth Proportional to 2,049.76, 3,085.72 and 1,871.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,049.76 : 3,085.72 = 1,871.20 : x
2. Step 2: Convert to fraction form
   2,049.76/3,085.72 = 1,871.20/x
3. Step 3: Cross multiply
   2,049.76x = 3,085.72 × 1,871.20
4. Step 4: Simplify right side
   2,049.76x = 5,773,999.26
5. Step 5: Solve for x
   x = 5,773,999.26/2,049.76
6. Step 6: Final answer
   x = 2,816.91