Finding the Fourth Proportional to 5,214.56, 7,826.16 and 2,096.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,214.56 : 7,826.16 = 2,096.72 : x
2. Step 2: Convert to fraction form
   5,214.56/7,826.16 = 2,096.72/x
3. Step 3: Cross multiply
   5,214.56x = 7,826.16 × 2,096.72
4. Step 4: Simplify right side
   5,214.56x = 16,409,266.20
5. Step 5: Solve for x
   x = 16,409,266.20/5,214.56
6. Step 6: Final answer
   x = 3,146.82