Finding the Fourth Proportional to 1,009.41, 1,393.31 and 589.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.41 : 1,393.31 = 589.61 : x
2. Step 2: Convert to fraction form
   1,009.41/1,393.31 = 589.61/x
3. Step 3: Cross multiply
   1,009.41x = 1,393.31 × 589.61
4. Step 4: Simplify right side
   1,009.41x = 821,499.59
5. Step 5: Solve for x
   x = 821,499.59/1,009.41
6. Step 6: Final answer
   x = 813.84