Finding the Fourth Proportional to 1,061.46, 1,464.57 and 589.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.46 : 1,464.57 = 589.32 : x
2. Step 2: Convert to fraction form
   1,061.46/1,464.57 = 589.32/x
3. Step 3: Cross multiply
   1,061.46x = 1,464.57 × 589.32
4. Step 4: Simplify right side
   1,061.46x = 863,100.39
5. Step 5: Solve for x
   x = 863,100.39/1,061.46
6. Step 6: Final answer
   x = 813.13