Finding the Fourth Proportional to 2,577.98, 3,864.56 and 1,406.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.98 : 3,864.56 = 1,406.24 : x
2. Step 2: Convert to fraction form
   2,577.98/3,864.56 = 1,406.24/x
3. Step 3: Cross multiply
   2,577.98x = 3,864.56 × 1,406.24
4. Step 4: Simplify right side
   2,577.98x = 5,434,498.85
5. Step 5: Solve for x
   x = 5,434,498.85/2,577.98
6. Step 6: Final answer
   x = 2,108.05