Finding the Fourth Proportional to 1,819.50, 2,729.33 and 586.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,819.50 : 2,729.33 = 586.82 : x
2. Step 2: Convert to fraction form
   1,819.50/2,729.33 = 586.82/x
3. Step 3: Cross multiply
   1,819.50x = 2,729.33 × 586.82
4. Step 4: Simplify right side
   1,819.50x = 1,601,608.85
5. Step 5: Solve for x
   x = 1,601,608.85/1,819.50
6. Step 6: Final answer
   x = 880.25