Finding the Fourth Proportional to 1,061.86, 1,465.37 and 589.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.86 : 1,465.37 = 589.74 : x
2. Step 2: Convert to fraction form
   1,061.86/1,465.37 = 589.74/x
3. Step 3: Cross multiply
   1,061.86x = 1,465.37 × 589.74
4. Step 4: Simplify right side
   1,061.86x = 864,189.72
5. Step 5: Solve for x
   x = 864,189.72/1,061.86
6. Step 6: Final answer
   x = 813.85