Finding the Fourth Proportional to 3,682.56, 5,080.64 and 2,109.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,682.56 : 5,080.64 = 2,109.52 : x
2. Step 2: Convert to fraction form
   3,682.56/5,080.64 = 2,109.52/x
3. Step 3: Cross multiply
   3,682.56x = 5,080.64 × 2,109.52
4. Step 4: Simplify right side
   3,682.56x = 10,717,711.69
5. Step 5: Solve for x
   x = 10,717,711.69/3,682.56
6. Step 6: Final answer
   x = 2,910.40