Finding the Fourth Proportional to 1,061.77, 1,465.34 and 589.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.77 : 1,465.34 = 589.72 : x
2. Step 2: Convert to fraction form
   1,061.77/1,465.34 = 589.72/x
3. Step 3: Cross multiply
   1,061.77x = 1,465.34 × 589.72
4. Step 4: Simplify right side
   1,061.77x = 864,133.69
5. Step 5: Solve for x
   x = 864,133.69/1,061.77
6. Step 6: Final answer
   x = 813.86