Finding the Fourth Proportional to 2,304.10, 3,178.64 and 1,557.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,304.10 : 3,178.64 = 1,557.78 : x
2. Step 2: Convert to fraction form
   2,304.10/3,178.64 = 1,557.78/x
3. Step 3: Cross multiply
   2,304.10x = 3,178.64 × 1,557.78
4. Step 4: Simplify right side
   2,304.10x = 4,951,621.82
5. Step 5: Solve for x
   x = 4,951,621.82/2,304.10
6. Step 6: Final answer
   x = 2,149.05