Finding the Fourth Proportional to 2,649.60, 3,662.82 and 2,023.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,649.60 : 3,662.82 = 2,023.20 : x
2. Step 2: Convert to fraction form
   2,649.60/3,662.82 = 2,023.20/x
3. Step 3: Cross multiply
   2,649.60x = 3,662.82 × 2,023.20
4. Step 4: Simplify right side
   2,649.60x = 7,410,617.42
5. Step 5: Solve for x
   x = 7,410,617.42/2,649.60
6. Step 6: Final answer
   x = 2,796.88