Finding the Fourth Proportional to 5,189.27, 7,784.51 and 2,267.19

Step by Step Solution

1. Step 1: Write the proportion equation
   5,189.27 : 7,784.51 = 2,267.19 : x
2. Step 2: Convert to fraction form
   5,189.27/7,784.51 = 2,267.19/x
3. Step 3: Cross multiply
   5,189.27x = 7,784.51 × 2,267.19
4. Step 4: Simplify right side
   5,189.27x = 17,648,951.89
5. Step 5: Solve for x
   x = 17,648,951.89/5,189.27
6. Step 6: Final answer
   x = 3,401.05