Finding the Fourth Proportional to 1,061.65, 1,465.07 and 589.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.65 : 1,465.07 = 589.55 : x
2. Step 2: Convert to fraction form
   1,061.65/1,465.07 = 589.55/x
3. Step 3: Cross multiply
   1,061.65x = 1,465.07 × 589.55
4. Step 4: Simplify right side
   1,061.65x = 863,732.02
5. Step 5: Solve for x
   x = 863,732.02/1,061.65
6. Step 6: Final answer
   x = 813.58