Finding the Fourth Proportional to 3,477.82, 5,209.78 and 2,090.41

Step by Step Solution

1. Step 1: Write the proportion equation
   3,477.82 : 5,209.78 = 2,090.41 : x
2. Step 2: Convert to fraction form
   3,477.82/5,209.78 = 2,090.41/x
3. Step 3: Cross multiply
   3,477.82x = 5,209.78 × 2,090.41
4. Step 4: Simplify right side
   3,477.82x = 10,890,544.93
5. Step 5: Solve for x
   x = 10,890,544.93/3,477.82
6. Step 6: Final answer
   x = 3,131.43