Finding the Fourth Proportional to 1,061.92, 1,465.30 and 589.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.92 : 1,465.30 = 589.78 : x
2. Step 2: Convert to fraction form
   1,061.92/1,465.30 = 589.78/x
3. Step 3: Cross multiply
   1,061.92x = 1,465.30 × 589.78
4. Step 4: Simplify right side
   1,061.92x = 864,204.63
5. Step 5: Solve for x
   x = 864,204.63/1,061.92
6. Step 6: Final answer
   x = 813.81