Finding the Fourth Proportional to 2,814.18, 3,882.20 and 1,820.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,814.18 : 3,882.20 = 1,820.32 : x
2. Step 2: Convert to fraction form
   2,814.18/3,882.20 = 1,820.32/x
3. Step 3: Cross multiply
   2,814.18x = 3,882.20 × 1,820.32
4. Step 4: Simplify right side
   2,814.18x = 7,066,846.30
5. Step 5: Solve for x
   x = 7,066,846.30/2,814.18
6. Step 6: Final answer
   x = 2,511.16