Finding the Fourth Proportional to 1,061.53, 1,464.98 and 589.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.53 : 1,464.98 = 589.47 : x
2. Step 2: Convert to fraction form
   1,061.53/1,464.98 = 589.47/x
3. Step 3: Cross multiply
   1,061.53x = 1,464.98 × 589.47
4. Step 4: Simplify right side
   1,061.53x = 863,563.23
5. Step 5: Solve for x
   x = 863,563.23/1,061.53
6. Step 6: Final answer
   x = 813.51