Finding the Fourth Proportional to 1,003.50, 1,384.86 and 589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.50 : 1,384.86 = 589.50 : x
2. Step 2: Convert to fraction form
   1,003.50/1,384.86 = 589.50/x
3. Step 3: Cross multiply
   1,003.50x = 1,384.86 × 589.50
4. Step 4: Simplify right side
   1,003.50x = 816,374.97
5. Step 5: Solve for x
   x = 816,374.97/1,003.50
6. Step 6: Final answer
   x = 813.53