Finding the Fourth Proportional to 1,061.47, 1,464.83 and 589.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.47 : 1,464.83 = 589.37 : x
2. Step 2: Convert to fraction form
   1,061.47/1,464.83 = 589.37/x
3. Step 3: Cross multiply
   1,061.47x = 1,464.83 × 589.37
4. Step 4: Simplify right side
   1,061.47x = 863,327.57
5. Step 5: Solve for x
   x = 863,327.57/1,061.47
6. Step 6: Final answer
   x = 813.33