Finding the Fourth Proportional to 1,061.37, 1,464.61 and 589.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.37 : 1,464.61 = 589.22 : x
2. Step 2: Convert to fraction form
   1,061.37/1,464.61 = 589.22/x
3. Step 3: Cross multiply
   1,061.37x = 1,464.61 × 589.22
4. Step 4: Simplify right side
   1,061.37x = 862,985.20
5. Step 5: Solve for x
   x = 862,985.20/1,061.37
6. Step 6: Final answer
   x = 813.08