Finding the Fourth Proportional to 2,649.71, 3,657.05 and 2,019.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,649.71 : 3,657.05 = 2,019.23 : x
2. Step 2: Convert to fraction form
   2,649.71/3,657.05 = 2,019.23/x
3. Step 3: Cross multiply
   2,649.71x = 3,657.05 × 2,019.23
4. Step 4: Simplify right side
   2,649.71x = 7,384,417.98
5. Step 5: Solve for x
   x = 7,384,417.98/2,649.71
6. Step 6: Final answer
   x = 2,786.88