Finding the Fourth Proportional to 1,009.46, 1,393.39 and 589.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.46 : 1,393.39 = 589.98 : x
2. Step 2: Convert to fraction form
   1,009.46/1,393.39 = 589.98/x
3. Step 3: Cross multiply
   1,009.46x = 1,393.39 × 589.98
4. Step 4: Simplify right side
   1,009.46x = 822,074.88
5. Step 5: Solve for x
   x = 822,074.88/1,009.46
6. Step 6: Final answer
   x = 814.37