Finding the Fourth Proportional to 2,741.68, 4,109.94 and 1,009

Step by Step Solution

1. Step 1: Write the proportion equation
   2,741.68 : 4,109.94 = 1,009 : x
2. Step 2: Convert to fraction form
   2,741.68/4,109.94 = 1,009/x
3. Step 3: Cross multiply
   2,741.68x = 4,109.94 × 1,009
4. Step 4: Simplify right side
   2,741.68x = 4,146,929.46
5. Step 5: Solve for x
   x = 4,146,929.46/2,741.68
6. Step 6: Final answer
   x = 1,512.55