Finding the Fourth Proportional to 1,061.72, 1,465.14 and 589.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.72 : 1,465.14 = 589.61 : x
2. Step 2: Convert to fraction form
   1,061.72/1,465.14 = 589.61/x
3. Step 3: Cross multiply
   1,061.72x = 1,465.14 × 589.61
4. Step 4: Simplify right side
   1,061.72x = 863,864.86
5. Step 5: Solve for x
   x = 863,864.86/1,061.72
6. Step 6: Final answer
   x = 813.65