Finding the Fourth Proportional to 2,076.17, 3,114.12 and 1,102.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,076.17 : 3,114.12 = 1,102.82 : x
2. Step 2: Convert to fraction form
   2,076.17/3,114.12 = 1,102.82/x
3. Step 3: Cross multiply
   2,076.17x = 3,114.12 × 1,102.82
4. Step 4: Simplify right side
   2,076.17x = 3,434,313.82
5. Step 5: Solve for x
   x = 3,434,313.82/2,076.17
6. Step 6: Final answer
   x = 1,654.16