Finding the Fourth Proportional to 5,191.57, 7,789.17 and 2,270.10

Step by Step Solution

1. Step 1: Write the proportion equation
   5,191.57 : 7,789.17 = 2,270.10 : x
2. Step 2: Convert to fraction form
   5,191.57/7,789.17 = 2,270.10/x
3. Step 3: Cross multiply
   5,191.57x = 7,789.17 × 2,270.10
4. Step 4: Simplify right side
   5,191.57x = 17,682,194.82
5. Step 5: Solve for x
   x = 17,682,194.82/5,191.57
6. Step 6: Final answer
   x = 3,405.94