Finding the Fourth Proportional to 3,649.59, 5,036.31 and 2,077.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,649.59 : 5,036.31 = 2,077.38 : x
2. Step 2: Convert to fraction form
   3,649.59/5,036.31 = 2,077.38/x
3. Step 3: Cross multiply
   3,649.59x = 5,036.31 × 2,077.38
4. Step 4: Simplify right side
   3,649.59x = 10,462,329.67
5. Step 5: Solve for x
   x = 10,462,329.67/3,649.59
6. Step 6: Final answer
   x = 2,866.71