Finding the Fourth Proportional to 1,055.39, 1,456.41 and 589.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.39 : 1,456.41 = 589.64 : x
2. Step 2: Convert to fraction form
   1,055.39/1,456.41 = 589.64/x
3. Step 3: Cross multiply
   1,055.39x = 1,456.41 × 589.64
4. Step 4: Simplify right side
   1,055.39x = 858,757.59
5. Step 5: Solve for x
   x = 858,757.59/1,055.39
6. Step 6: Final answer
   x = 813.69