Finding the Fourth Proportional to 5,191.96, 7,164.89 and 2,834.10

Step by Step Solution

1. Step 1: Write the proportion equation
   5,191.96 : 7,164.89 = 2,834.10 : x
2. Step 2: Convert to fraction form
   5,191.96/7,164.89 = 2,834.10/x
3. Step 3: Cross multiply
   5,191.96x = 7,164.89 × 2,834.10
4. Step 4: Simplify right side
   5,191.96x = 20,305,978.92
5. Step 5: Solve for x
   x = 20,305,978.92/5,191.96
6. Step 6: Final answer
   x = 3,911.04