Finding the Fourth Proportional to 5,196.64, 7,171.10 and 2,838.34

Step by Step Solution

1. Step 1: Write the proportion equation
   5,196.64 : 7,171.10 = 2,838.34 : x
2. Step 2: Convert to fraction form
   5,196.64/7,171.10 = 2,838.34/x
3. Step 3: Cross multiply
   5,196.64x = 7,171.10 × 2,838.34
4. Step 4: Simplify right side
   5,196.64x = 20,354,019.97
5. Step 5: Solve for x
   x = 20,354,019.97/5,196.64
6. Step 6: Final answer
   x = 3,916.77