Finding the Fourth Proportional to 1,061.34, 1,464.66 and 589.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.34 : 1,464.66 = 589.23 : x
2. Step 2: Convert to fraction form
   1,061.34/1,464.66 = 589.23/x
3. Step 3: Cross multiply
   1,061.34x = 1,464.66 × 589.23
4. Step 4: Simplify right side
   1,061.34x = 863,021.61
5. Step 5: Solve for x
   x = 863,021.61/1,061.34
6. Step 6: Final answer
   x = 813.14