Finding the Fourth Proportional to 1,600.76, 2,399.72 and 820.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,600.76 : 2,399.72 = 820.33 : x
2. Step 2: Convert to fraction form
   1,600.76/2,399.72 = 820.33/x
3. Step 3: Cross multiply
   1,600.76x = 2,399.72 × 820.33
4. Step 4: Simplify right side
   1,600.76x = 1,968,562.31
5. Step 5: Solve for x
   x = 1,968,562.31/1,600.76
6. Step 6: Final answer
   x = 1,229.77