Finding the Fourth Proportional to 1,061.62, 1,465.06 and 589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.62 : 1,465.06 = 589.50 : x
2. Step 2: Convert to fraction form
   1,061.62/1,465.06 = 589.50/x
3. Step 3: Cross multiply
   1,061.62x = 1,465.06 × 589.50
4. Step 4: Simplify right side
   1,061.62x = 863,652.87
5. Step 5: Solve for x
   x = 863,652.87/1,061.62
6. Step 6: Final answer
   x = 813.52