Finding the Fourth Proportional to 2,019.30, 2,782.55 and 1,457.97

Step by Step Solution

1. Step 1: Write the proportion equation
   2,019.30 : 2,782.55 = 1,457.97 : x
2. Step 2: Convert to fraction form
   2,019.30/2,782.55 = 1,457.97/x
3. Step 3: Cross multiply
   2,019.30x = 2,782.55 × 1,457.97
4. Step 4: Simplify right side
   2,019.30x = 4,056,867.13
5. Step 5: Solve for x
   x = 4,056,867.13/2,019.30
6. Step 6: Final answer
   x = 2,009.05