Finding the Fourth Proportional to 1,859.34, 2,565.82 and 1,020.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,859.34 : 2,565.82 = 1,020.02 : x
2. Step 2: Convert to fraction form
   1,859.34/2,565.82 = 1,020.02/x
3. Step 3: Cross multiply
   1,859.34x = 2,565.82 × 1,020.02
4. Step 4: Simplify right side
   1,859.34x = 2,617,187.72
5. Step 5: Solve for x
   x = 2,617,187.72/1,859.34
6. Step 6: Final answer
   x = 1,407.59