Finding the Fourth Proportional to 1,055.16, 1,456.12 and 589.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.16 : 1,456.12 = 589.41 : x
2. Step 2: Convert to fraction form
   1,055.16/1,456.12 = 589.41/x
3. Step 3: Cross multiply
   1,055.16x = 1,456.12 × 589.41
4. Step 4: Simplify right side
   1,055.16x = 858,251.69
5. Step 5: Solve for x
   x = 858,251.69/1,055.16
6. Step 6: Final answer
   x = 813.39