Finding the Fourth Proportional to 1,061.35, 1,464.73 and 589.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.35 : 1,464.73 = 589.35 : x
2. Step 2: Convert to fraction form
   1,061.35/1,464.73 = 589.35/x
3. Step 3: Cross multiply
   1,061.35x = 1,464.73 × 589.35
4. Step 4: Simplify right side
   1,061.35x = 863,238.63
5. Step 5: Solve for x
   x = 863,238.63/1,061.35
6. Step 6: Final answer
   x = 813.34