Finding the Fourth Proportional to 2,978.05, 4,467.81 and 2,102.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.05 : 4,467.81 = 2,102.27 : x
2. Step 2: Convert to fraction form
   2,978.05/4,467.81 = 2,102.27/x
3. Step 3: Cross multiply
   2,978.05x = 4,467.81 × 2,102.27
4. Step 4: Simplify right side
   2,978.05x = 9,392,510.08
5. Step 5: Solve for x
   x = 9,392,510.08/2,978.05
6. Step 6: Final answer
   x = 3,153.92