Finding the Fourth Proportional to 2,049.12, 3,074.40 and 1,278.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,049.12 : 3,074.40 = 1,278.72 : x
2. Step 2: Convert to fraction form
   2,049.12/3,074.40 = 1,278.72/x
3. Step 3: Cross multiply
   2,049.12x = 3,074.40 × 1,278.72
4. Step 4: Simplify right side
   2,049.12x = 3,931,296.77
5. Step 5: Solve for x
   x = 3,931,296.77/2,049.12
6. Step 6: Final answer
   x = 1,918.53