Finding the Fourth Proportional to 3,699.68, 5,105.71 and 2,127.77

Step by Step Solution

1. Step 1: Write the proportion equation
   3,699.68 : 5,105.71 = 2,127.77 : x
2. Step 2: Convert to fraction form
   3,699.68/5,105.71 = 2,127.77/x
3. Step 3: Cross multiply
   3,699.68x = 5,105.71 × 2,127.77
4. Step 4: Simplify right side
   3,699.68x = 10,863,789.33
5. Step 5: Solve for x
   x = 10,863,789.33/3,699.68
6. Step 6: Final answer
   x = 2,936.41