Finding the Fourth Proportional to 3,648.86, 5,036.01 and 2,077.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,648.86 : 5,036.01 = 2,077.46 : x
2. Step 2: Convert to fraction form
   3,648.86/5,036.01 = 2,077.46/x
3. Step 3: Cross multiply
   3,648.86x = 5,036.01 × 2,077.46
4. Step 4: Simplify right side
   3,648.86x = 10,462,109.33
5. Step 5: Solve for x
   x = 10,462,109.33/3,648.86
6. Step 6: Final answer
   x = 2,867.23