Finding the Fourth Proportional to 2,015.64, 2,781.20 and 1,456.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,015.64 : 2,781.20 = 1,456.96 : x
2. Step 2: Convert to fraction form
   2,015.64/2,781.20 = 1,456.96/x
3. Step 3: Cross multiply
   2,015.64x = 2,781.20 × 1,456.96
4. Step 4: Simplify right side
   2,015.64x = 4,052,097.15
5. Step 5: Solve for x
   x = 4,052,097.15/2,015.64
6. Step 6: Final answer
   x = 2,010.33