Finding the Fourth Proportional to 2,178.50, 3,006.38 and 1,183.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.50 : 3,006.38 = 1,183.83 : x
2. Step 2: Convert to fraction form
   2,178.50/3,006.38 = 1,183.83/x
3. Step 3: Cross multiply
   2,178.50x = 3,006.38 × 1,183.83
4. Step 4: Simplify right side
   2,178.50x = 3,559,051.43
5. Step 5: Solve for x
   x = 3,559,051.43/2,178.50
6. Step 6: Final answer
   x = 1,633.72