Finding the Fourth Proportional to 1,061.69, 1,465.08 and 589.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.69 : 1,465.08 = 589.58 : x
2. Step 2: Convert to fraction form
   1,061.69/1,465.08 = 589.58/x
3. Step 3: Cross multiply
   1,061.69x = 1,465.08 × 589.58
4. Step 4: Simplify right side
   1,061.69x = 863,781.87
5. Step 5: Solve for x
   x = 863,781.87/1,061.69
6. Step 6: Final answer
   x = 813.59