Finding the Fourth Proportional to 2,077.29, 3,096.69 and 1,921.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.29 : 3,096.69 = 1,921.77 : x
2. Step 2: Convert to fraction form
   2,077.29/3,096.69 = 1,921.77/x
3. Step 3: Cross multiply
   2,077.29x = 3,096.69 × 1,921.77
4. Step 4: Simplify right side
   2,077.29x = 5,951,125.94
5. Step 5: Solve for x
   x = 5,951,125.94/2,077.29
6. Step 6: Final answer
   x = 2,864.85