Finding the Fourth Proportional to 1,061.53, 1,464.92 and 589.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.53 : 1,464.92 = 589.41 : x
2. Step 2: Convert to fraction form
   1,061.53/1,464.92 = 589.41/x
3. Step 3: Cross multiply
   1,061.53x = 1,464.92 × 589.41
4. Step 4: Simplify right side
   1,061.53x = 863,435.55
5. Step 5: Solve for x
   x = 863,435.55/1,061.53
6. Step 6: Final answer
   x = 813.39