Finding the Fourth Proportional to 1,055.33, 1,456.35 and 589.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.33 : 1,456.35 = 589.58 : x
2. Step 2: Convert to fraction form
   1,055.33/1,456.35 = 589.58/x
3. Step 3: Cross multiply
   1,055.33x = 1,456.35 × 589.58
4. Step 4: Simplify right side
   1,055.33x = 858,634.83
5. Step 5: Solve for x
   x = 858,634.83/1,055.33
6. Step 6: Final answer
   x = 813.62