Finding the Fourth Proportional to 8,141.59, 12,214.22 and 3,461.76

Step by Step Solution

1. Step 1: Write the proportion equation
   8,141.59 : 12,214.22 = 3,461.76 : x
2. Step 2: Convert to fraction form
   8,141.59/12,214.22 = 3,461.76/x
3. Step 3: Cross multiply
   8,141.59x = 12,214.22 × 3,461.76
4. Step 4: Simplify right side
   8,141.59x = 42,282,725.01
5. Step 5: Solve for x
   x = 42,282,725.01/8,141.59
6. Step 6: Final answer
   x = 5,193.42