Finding the Fourth Proportional to 1,061.90, 1,465.38 and 589.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.90 : 1,465.38 = 589.83 : x
2. Step 2: Convert to fraction form
   1,061.90/1,465.38 = 589.83/x
3. Step 3: Cross multiply
   1,061.90x = 1,465.38 × 589.83
4. Step 4: Simplify right side
   1,061.90x = 864,324.94
5. Step 5: Solve for x
   x = 864,324.94/1,061.90
6. Step 6: Final answer
   x = 813.94