Finding the Fourth Proportional to 6,143.32, 9,214.89 and 3,678.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,143.32 : 9,214.89 = 3,678.82 : x
2. Step 2: Convert to fraction form
   6,143.32/9,214.89 = 3,678.82/x
3. Step 3: Cross multiply
   6,143.32x = 9,214.89 × 3,678.82
4. Step 4: Simplify right side
   6,143.32x = 33,899,921.63
5. Step 5: Solve for x
   x = 33,899,921.63/6,143.32
6. Step 6: Final answer
   x = 5,518.18