Finding the Fourth Proportional to 1,013.30, 1,398.38 and 593.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013.30 : 1,398.38 = 593.96 : x
2. Step 2: Convert to fraction form
   1,013.30/1,398.38 = 593.96/x
3. Step 3: Cross multiply
   1,013.30x = 1,398.38 × 593.96
4. Step 4: Simplify right side
   1,013.30x = 830,571.82
5. Step 5: Solve for x
   x = 830,571.82/1,013.30
6. Step 6: Final answer
   x = 819.67