Finding the Fourth Proportional to 1,061.44, 1,464.73 and 589.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.44 : 1,464.73 = 589.34 : x
2. Step 2: Convert to fraction form
   1,061.44/1,464.73 = 589.34/x
3. Step 3: Cross multiply
   1,061.44x = 1,464.73 × 589.34
4. Step 4: Simplify right side
   1,061.44x = 863,226.17
5. Step 5: Solve for x
   x = 863,226.17/1,061.44
6. Step 6: Final answer
   x = 813.26