Finding the Fourth Proportional to 1,055.28, 1,456.32 and 589.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.28 : 1,456.32 = 589.52 : x
2. Step 2: Convert to fraction form
   1,055.28/1,456.32 = 589.52/x
3. Step 3: Cross multiply
   1,055.28x = 1,456.32 × 589.52
4. Step 4: Simplify right side
   1,055.28x = 858,529.77
5. Step 5: Solve for x
   x = 858,529.77/1,055.28
6. Step 6: Final answer
   x = 813.56