Finding the Fourth Proportional to 1,859.04, 2,565.50 and 1,019.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,859.04 : 2,565.50 = 1,019.75 : x
2. Step 2: Convert to fraction form
   1,859.04/2,565.50 = 1,019.75/x
3. Step 3: Cross multiply
   1,859.04x = 2,565.50 × 1,019.75
4. Step 4: Simplify right side
   1,859.04x = 2,616,150.70
5. Step 5: Solve for x
   x = 2,616,150.70/1,859.04
6. Step 6: Final answer
   x = 1,407.26