Finding the Fourth Proportional to 3,649.71, 5,036.18 and 2,077.59

Step by Step Solution

1. Step 1: Write the proportion equation
   3,649.71 : 5,036.18 = 2,077.59 : x
2. Step 2: Convert to fraction form
   3,649.71/5,036.18 = 2,077.59/x
3. Step 3: Cross multiply
   3,649.71x = 5,036.18 × 2,077.59
4. Step 4: Simplify right side
   3,649.71x = 10,463,106.82
5. Step 5: Solve for x
   x = 10,463,106.82/3,649.71
6. Step 6: Final answer
   x = 2,866.83