Finding the Fourth Proportional to 1,351.67, 1,865.30 and 820.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,351.67 : 1,865.30 = 820.37 : x
2. Step 2: Convert to fraction form
   1,351.67/1,865.30 = 820.37/x
3. Step 3: Cross multiply
   1,351.67x = 1,865.30 × 820.37
4. Step 4: Simplify right side
   1,351.67x = 1,530,222.73
5. Step 5: Solve for x
   x = 1,530,222.73/1,351.67
6. Step 6: Final answer
   x = 1,132.10