Finding the Fourth Proportional to 2,181.77, 3,274.38 and 1,142.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,181.77 : 3,274.38 = 1,142.09 : x
2. Step 2: Convert to fraction form
   2,181.77/3,274.38 = 1,142.09/x
3. Step 3: Cross multiply
   2,181.77x = 3,274.38 × 1,142.09
4. Step 4: Simplify right side
   2,181.77x = 3,739,620.28
5. Step 5: Solve for x
   x = 3,739,620.28/2,181.77
6. Step 6: Final answer
   x = 1,714.03