Finding the Fourth Proportional to 1,013.98, 1,399.29 and 594.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013.98 : 1,399.29 = 594.58 : x
2. Step 2: Convert to fraction form
   1,013.98/1,399.29 = 594.58/x
3. Step 3: Cross multiply
   1,013.98x = 1,399.29 × 594.58
4. Step 4: Simplify right side
   1,013.98x = 831,989.85
5. Step 5: Solve for x
   x = 831,989.85/1,013.98
6. Step 6: Final answer
   x = 820.52