Finding the Fourth Proportional to 3,649.76, 5,036.78 and 2,077.55

Step by Step Solution

1. Step 1: Write the proportion equation
   3,649.76 : 5,036.78 = 2,077.55 : x
2. Step 2: Convert to fraction form
   3,649.76/5,036.78 = 2,077.55/x
3. Step 3: Cross multiply
   3,649.76x = 5,036.78 × 2,077.55
4. Step 4: Simplify right side
   3,649.76x = 10,464,162.29
5. Step 5: Solve for x
   x = 10,464,162.29/3,649.76
6. Step 6: Final answer
   x = 2,867.08