Finding the Fourth Proportional to 1,055.10, 1,456.03 and 589.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.10 : 1,456.03 = 589.34 : x
2. Step 2: Convert to fraction form
   1,055.10/1,456.03 = 589.34/x
3. Step 3: Cross multiply
   1,055.10x = 1,456.03 × 589.34
4. Step 4: Simplify right side
   1,055.10x = 858,096.72
5. Step 5: Solve for x
   x = 858,096.72/1,055.10
6. Step 6: Final answer
   x = 813.28