Finding the Fourth Proportional to 2,055.04, 2,832.56 and 1,456.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,055.04 : 2,832.56 = 1,456.78 : x
2. Step 2: Convert to fraction form
   2,055.04/2,832.56 = 1,456.78/x
3. Step 3: Cross multiply
   2,055.04x = 2,832.56 × 1,456.78
4. Step 4: Simplify right side
   2,055.04x = 4,126,416.76
5. Step 5: Solve for x
   x = 4,126,416.76/2,055.04
6. Step 6: Final answer
   x = 2,007.95