Finding the Fourth Proportional to 1,013.50, 1,398.63 and 599.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013.50 : 1,398.63 = 599.50 : x
2. Step 2: Convert to fraction form
   1,013.50/1,398.63 = 599.50/x
3. Step 3: Cross multiply
   1,013.50x = 1,398.63 × 599.50
4. Step 4: Simplify right side
   1,013.50x = 838,478.69
5. Step 5: Solve for x
   x = 838,478.69/1,013.50
6. Step 6: Final answer
   x = 827.31