Finding the Fourth Proportional to 2,178.53, 3,006.34 and 1,183.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.53 : 3,006.34 = 1,183.78 : x
2. Step 2: Convert to fraction form
   2,178.53/3,006.34 = 1,183.78/x
3. Step 3: Cross multiply
   2,178.53x = 3,006.34 × 1,183.78
4. Step 4: Simplify right side
   2,178.53x = 3,558,834.69
5. Step 5: Solve for x
   x = 3,558,834.69/2,178.53
6. Step 6: Final answer
   x = 1,633.60