Finding the Fourth Proportional to 1,061.52, 1,464.91 and 589.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.52 : 1,464.91 = 589.43 : x
2. Step 2: Convert to fraction form
   1,061.52/1,464.91 = 589.43/x
3. Step 3: Cross multiply
   1,061.52x = 1,464.91 × 589.43
4. Step 4: Simplify right side
   1,061.52x = 863,461.90
5. Step 5: Solve for x
   x = 863,461.90/1,061.52
6. Step 6: Final answer
   x = 813.42