Finding the Fourth Proportional to 1,061.95, 1,465.49 and 589.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.95 : 1,465.49 = 589.85 : x
2. Step 2: Convert to fraction form
   1,061.95/1,465.49 = 589.85/x
3. Step 3: Cross multiply
   1,061.95x = 1,465.49 × 589.85
4. Step 4: Simplify right side
   1,061.95x = 864,424.41
5. Step 5: Solve for x
   x = 864,424.41/1,061.95
6. Step 6: Final answer
   x = 814.00