Finding the Fourth Proportional to 1,055.56, 1,456.62 and 589.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.56 : 1,456.62 = 589.72 : x
2. Step 2: Convert to fraction form
   1,055.56/1,456.62 = 589.72/x
3. Step 3: Cross multiply
   1,055.56x = 1,456.62 × 589.72
4. Step 4: Simplify right side
   1,055.56x = 858,997.95
5. Step 5: Solve for x
   x = 858,997.95/1,055.56
6. Step 6: Final answer
   x = 813.78