Finding the Fourth Proportional to 5,214.72, 7,829.89 and 4,514.10

Step by Step Solution

1. Step 1: Write the proportion equation
   5,214.72 : 7,829.89 = 4,514.10 : x
2. Step 2: Convert to fraction form
   5,214.72/7,829.89 = 4,514.10/x
3. Step 3: Cross multiply
   5,214.72x = 7,829.89 × 4,514.10
4. Step 4: Simplify right side
   5,214.72x = 35,344,906.45
5. Step 5: Solve for x
   x = 35,344,906.45/5,214.72
6. Step 6: Final answer
   x = 6,777.91