Finding the Fourth Proportional to 2,542.05, 3,814.02 and 1,082.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,542.05 : 3,814.02 = 1,082.34 : x
2. Step 2: Convert to fraction form
   2,542.05/3,814.02 = 1,082.34/x
3. Step 3: Cross multiply
   2,542.05x = 3,814.02 × 1,082.34
4. Step 4: Simplify right side
   2,542.05x = 4,128,066.41
5. Step 5: Solve for x
   x = 4,128,066.41/2,542.05
6. Step 6: Final answer
   x = 1,623.91