Finding the Fourth Proportional to 2,649.96, 3,656.88 and 2,019.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,649.96 : 3,656.88 = 2,019.78 : x
2. Step 2: Convert to fraction form
   2,649.96/3,656.88 = 2,019.78/x
3. Step 3: Cross multiply
   2,649.96x = 3,656.88 × 2,019.78
4. Step 4: Simplify right side
   2,649.96x = 7,386,093.09
5. Step 5: Solve for x
   x = 7,386,093.09/2,649.96
6. Step 6: Final answer
   x = 2,787.25