Finding the Fourth Proportional to 1,003.74, 1,384.71 and 589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.74 : 1,384.71 = 589.50 : x
2. Step 2: Convert to fraction form
   1,003.74/1,384.71 = 589.50/x
3. Step 3: Cross multiply
   1,003.74x = 1,384.71 × 589.50
4. Step 4: Simplify right side
   1,003.74x = 816,286.55
5. Step 5: Solve for x
   x = 816,286.55/1,003.74
6. Step 6: Final answer
   x = 813.25