Finding the Fourth Proportional to 6,414.72, 9,619.38 and 3,945.84

Step by Step Solution

1. Step 1: Write the proportion equation
   6,414.72 : 9,619.38 = 3,945.84 : x
2. Step 2: Convert to fraction form
   6,414.72/9,619.38 = 3,945.84/x
3. Step 3: Cross multiply
   6,414.72x = 9,619.38 × 3,945.84
4. Step 4: Simplify right side
   6,414.72x = 37,956,534.38
5. Step 5: Solve for x
   x = 37,956,534.38/6,414.72
6. Step 6: Final answer
   x = 5,917.10