Finding the Fourth Proportional to 1,061.94, 1,465.50 and 589.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.94 : 1,465.50 = 589.86 : x
2. Step 2: Convert to fraction form
   1,061.94/1,465.50 = 589.86/x
3. Step 3: Cross multiply
   1,061.94x = 1,465.50 × 589.86
4. Step 4: Simplify right side
   1,061.94x = 864,439.83
5. Step 5: Solve for x
   x = 864,439.83/1,061.94
6. Step 6: Final answer
   x = 814.02