Finding the Fourth Proportional to 3,906.98, 5,856.30 and 1,824.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,906.98 : 5,856.30 = 1,824.56 : x
2. Step 2: Convert to fraction form
   3,906.98/5,856.30 = 1,824.56/x
3. Step 3: Cross multiply
   3,906.98x = 5,856.30 × 1,824.56
4. Step 4: Simplify right side
   3,906.98x = 10,685,170.73
5. Step 5: Solve for x
   x = 10,685,170.73/3,906.98
6. Step 6: Final answer
   x = 2,734.89