Finding the Fourth Proportional to 2,178.56, 3,268.62 and 1,009.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.56 : 3,268.62 = 1,009.12 : x
2. Step 2: Convert to fraction form
   2,178.56/3,268.62 = 1,009.12/x
3. Step 3: Cross multiply
   2,178.56x = 3,268.62 × 1,009.12
4. Step 4: Simplify right side
   2,178.56x = 3,298,429.81
5. Step 5: Solve for x
   x = 3,298,429.81/2,178.56
6. Step 6: Final answer
   x = 1,514.04