Finding the Fourth Proportional to 5,214.71, 7,196.25 and 2,856.86

Step by Step Solution

1. Step 1: Write the proportion equation
   5,214.71 : 7,196.25 = 2,856.86 : x
2. Step 2: Convert to fraction form
   5,214.71/7,196.25 = 2,856.86/x
3. Step 3: Cross multiply
   5,214.71x = 7,196.25 × 2,856.86
4. Step 4: Simplify right side
   5,214.71x = 20,558,678.78
5. Step 5: Solve for x
   x = 20,558,678.78/5,214.71
6. Step 6: Final answer
   x = 3,942.44