Finding the Fourth Proportional to 1,061.49, 1,464.78 and 589.36

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.49 : 1,464.78 = 589.36 : x
2. Step 2: Convert to fraction form
   1,061.49/1,464.78 = 589.36/x
3. Step 3: Cross multiply
   1,061.49x = 1,464.78 × 589.36
4. Step 4: Simplify right side
   1,061.49x = 863,279.08
5. Step 5: Solve for x
   x = 863,279.08/1,061.49
6. Step 6: Final answer
   x = 813.27