Finding the Fourth Proportional to 1,061.38, 1,464.76 and 589.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.38 : 1,464.76 = 589.31 : x
2. Step 2: Convert to fraction form
   1,061.38/1,464.76 = 589.31/x
3. Step 3: Cross multiply
   1,061.38x = 1,464.76 × 589.31
4. Step 4: Simplify right side
   1,061.38x = 863,201.14
5. Step 5: Solve for x
   x = 863,201.14/1,061.38
6. Step 6: Final answer
   x = 813.28