Finding the Fourth Proportional to 1,061.25, 1,464.48 and 589.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.25 : 1,464.48 = 589.14 : x
2. Step 2: Convert to fraction form
   1,061.25/1,464.48 = 589.14/x
3. Step 3: Cross multiply
   1,061.25x = 1,464.48 × 589.14
4. Step 4: Simplify right side
   1,061.25x = 862,774.95
5. Step 5: Solve for x
   x = 862,774.95/1,061.25
6. Step 6: Final answer
   x = 812.98