Finding the Fourth Proportional to 1,009.47, 1,392.83 and 589.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.47 : 1,392.83 = 589.58 : x
2. Step 2: Convert to fraction form
   1,009.47/1,392.83 = 589.58/x
3. Step 3: Cross multiply
   1,009.47x = 1,392.83 × 589.58
4. Step 4: Simplify right side
   1,009.47x = 821,185.25
5. Step 5: Solve for x
   x = 821,185.25/1,009.47
6. Step 6: Final answer
   x = 813.48