Finding the Fourth Proportional to 3,649.56, 5,036.34 and 2,077.68

Step by Step Solution

1. Step 1: Write the proportion equation
   3,649.56 : 5,036.34 = 2,077.68 : x
2. Step 2: Convert to fraction form
   3,649.56/5,036.34 = 2,077.68/x
3. Step 3: Cross multiply
   3,649.56x = 5,036.34 × 2,077.68
4. Step 4: Simplify right side
   3,649.56x = 10,463,902.89
5. Step 5: Solve for x
   x = 10,463,902.89/3,649.56
6. Step 6: Final answer
   x = 2,867.17