Finding the Fourth Proportional to 2,468.56, 3,408.24 and 1,584.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,468.56 : 3,408.24 = 1,584.76 : x
2. Step 2: Convert to fraction form
   2,468.56/3,408.24 = 1,584.76/x
3. Step 3: Cross multiply
   2,468.56x = 3,408.24 × 1,584.76
4. Step 4: Simplify right side
   2,468.56x = 5,401,242.42
5. Step 5: Solve for x
   x = 5,401,242.42/2,468.56
6. Step 6: Final answer
   x = 2,188.01