Finding the Fourth Proportional to 5,214.82, 7,196.43 and 2,824.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,214.82 : 7,196.43 = 2,824.78 : x
2. Step 2: Convert to fraction form
   5,214.82/7,196.43 = 2,824.78/x
3. Step 3: Cross multiply
   5,214.82x = 7,196.43 × 2,824.78
4. Step 4: Simplify right side
   5,214.82x = 20,328,331.54
5. Step 5: Solve for x
   x = 20,328,331.54/5,214.82
6. Step 6: Final answer
   x = 3,898.18