Finding the Fourth Proportional to 1,009.30, 1,392.94 and 589.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.30 : 1,392.94 = 589.68 : x
2. Step 2: Convert to fraction form
   1,009.30/1,392.94 = 589.68/x
3. Step 3: Cross multiply
   1,009.30x = 1,392.94 × 589.68
4. Step 4: Simplify right side
   1,009.30x = 821,388.86
5. Step 5: Solve for x
   x = 821,388.86/1,009.30
6. Step 6: Final answer
   x = 813.82