Finding the Fourth Proportional to 1,055.52, 1,456.38 and 589.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.52 : 1,456.38 = 589.74 : x
2. Step 2: Convert to fraction form
   1,055.52/1,456.38 = 589.74/x
3. Step 3: Cross multiply
   1,055.52x = 1,456.38 × 589.74
4. Step 4: Simplify right side
   1,055.52x = 858,885.54
5. Step 5: Solve for x
   x = 858,885.54/1,055.52
6. Step 6: Final answer
   x = 813.71