Finding the Fourth Proportional to 1,589.00, 2,380.71 and 859.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,589.00 : 2,380.71 = 859.10 : x
2. Step 2: Convert to fraction form
   1,589.00/2,380.71 = 859.10/x
3. Step 3: Cross multiply
   1,589.00x = 2,380.71 × 859.10
4. Step 4: Simplify right side
   1,589.00x = 2,045,256.06
5. Step 5: Solve for x
   x = 2,045,256.06/1,589.00
6. Step 6: Final answer
   x = 1,287.14