Finding the Fourth Proportional to 3,649.10, 5,036.00 and 2,077.20

Step by Step Solution

1. Step 1: Write the proportion equation
   3,649.10 : 5,036.00 = 2,077.20 : x
2. Step 2: Convert to fraction form
   3,649.10/5,036.00 = 2,077.20/x
3. Step 3: Cross multiply
   3,649.10x = 5,036.00 × 2,077.20
4. Step 4: Simplify right side
   3,649.10x = 10,460,768.81
5. Step 5: Solve for x
   x = 10,460,768.81/3,649.10
6. Step 6: Final answer
   x = 2,866.67