Finding the Fourth Proportional to 3,006.56, 4,141.86 and 2,471.96

Step by Step Solution

1. Step 1: Write the proportion equation
   3,006.56 : 4,141.86 = 2,471.96 : x
2. Step 2: Convert to fraction form
   3,006.56/4,141.86 = 2,471.96/x
3. Step 3: Cross multiply
   3,006.56x = 4,141.86 × 2,471.96
4. Step 4: Simplify right side
   3,006.56x = 10,238,512.25
5. Step 5: Solve for x
   x = 10,238,512.25/3,006.56
6. Step 6: Final answer
   x = 3,405.39