Finding the Fourth Proportional to 8,141.77, 12,209.82 and 3,461.59

Step by Step Solution

1. Step 1: Write the proportion equation
   8,141.77 : 12,209.82 = 3,461.59 : x
2. Step 2: Convert to fraction form
   8,141.77/12,209.82 = 3,461.59/x
3. Step 3: Cross multiply
   8,141.77x = 12,209.82 × 3,461.59
4. Step 4: Simplify right side
   8,141.77x = 42,265,390.81
5. Step 5: Solve for x
   x = 42,265,390.81/8,141.77
6. Step 6: Final answer
   x = 5,191.18