Finding the Fourth Proportional to 1,061.61, 1,464.95 and 589.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.61 : 1,464.95 = 589.46 : x
2. Step 2: Convert to fraction form
   1,061.61/1,464.95 = 589.46/x
3. Step 3: Cross multiply
   1,061.61x = 1,464.95 × 589.46
4. Step 4: Simplify right side
   1,061.61x = 863,535.51
5. Step 5: Solve for x
   x = 863,535.51/1,061.61
6. Step 6: Final answer
   x = 813.42