Finding the Fourth Proportional to 2,767.89, 4,152.65 and 820.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,767.89 : 4,152.65 = 820.14 : x
2. Step 2: Convert to fraction form
   2,767.89/4,152.65 = 820.14/x
3. Step 3: Cross multiply
   2,767.89x = 4,152.65 × 820.14
4. Step 4: Simplify right side
   2,767.89x = 3,405,754.37
5. Step 5: Solve for x
   x = 3,405,754.37/2,767.89
6. Step 6: Final answer
   x = 1,230.45