Finding the Fourth Proportional to 1,055.46, 1,456.56 and 589.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.46 : 1,456.56 = 589.74 : x
2. Step 2: Convert to fraction form
   1,055.46/1,456.56 = 589.74/x
3. Step 3: Cross multiply
   1,055.46x = 1,456.56 × 589.74
4. Step 4: Simplify right side
   1,055.46x = 858,991.69
5. Step 5: Solve for x
   x = 858,991.69/1,055.46
6. Step 6: Final answer
   x = 813.86