Finding the Fourth Proportional to 6,141.30, 9,206.55 and 3,677.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,141.30 : 9,206.55 = 3,677.10 : x
2. Step 2: Convert to fraction form
   6,141.30/9,206.55 = 3,677.10/x
3. Step 3: Cross multiply
   6,141.30x = 9,206.55 × 3,677.10
4. Step 4: Simplify right side
   6,141.30x = 33,853,405.01
5. Step 5: Solve for x
   x = 33,853,405.01/6,141.30
6. Step 6: Final answer
   x = 5,512.42