Finding the Fourth Proportional to 1,061.35, 1,464.66 and 589.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.35 : 1,464.66 = 589.23 : x
2. Step 2: Convert to fraction form
   1,061.35/1,464.66 = 589.23/x
3. Step 3: Cross multiply
   1,061.35x = 1,464.66 × 589.23
4. Step 4: Simplify right side
   1,061.35x = 863,011.34
5. Step 5: Solve for x
   x = 863,011.34/1,061.35
6. Step 6: Final answer
   x = 813.13