Finding the Fourth Proportional to 2,178.05, 3,005.71 and 1,183.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.05 : 3,005.71 = 1,183.33 : x
2. Step 2: Convert to fraction form
   2,178.05/3,005.71 = 1,183.33/x
3. Step 3: Cross multiply
   2,178.05x = 3,005.71 × 1,183.33
4. Step 4: Simplify right side
   2,178.05x = 3,556,746.81
5. Step 5: Solve for x
   x = 3,556,746.81/2,178.05
6. Step 6: Final answer
   x = 1,633.00