Finding the Fourth Proportional to 1,013.50, 1,519.34 and 364.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013.50 : 1,519.34 = 364.09 : x
2. Step 2: Convert to fraction form
   1,013.50/1,519.34 = 364.09/x
3. Step 3: Cross multiply
   1,013.50x = 1,519.34 × 364.09
4. Step 4: Simplify right side
   1,013.50x = 553,176.50
5. Step 5: Solve for x
   x = 553,176.50/1,013.50
6. Step 6: Final answer
   x = 545.81