Finding the Fourth Proportional to 5,109.10, 7,665.30 and 2,510.22

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.10 : 7,665.30 = 2,510.22 : x
2. Step 2: Convert to fraction form
   5,109.10/7,665.30 = 2,510.22/x
3. Step 3: Cross multiply
   5,109.10x = 7,665.30 × 2,510.22
4. Step 4: Simplify right side
   5,109.10x = 19,241,589.37
5. Step 5: Solve for x
   x = 19,241,589.37/5,109.10
6. Step 6: Final answer
   x = 3,766.14