Finding the Fourth Proportional to 2,178.81, 3,006.78 and 1,184.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.81 : 3,006.78 = 1,184.12 : x
2. Step 2: Convert to fraction form
   2,178.81/3,006.78 = 1,184.12/x
3. Step 3: Cross multiply
   2,178.81x = 3,006.78 × 1,184.12
4. Step 4: Simplify right side
   2,178.81x = 3,560,388.46
5. Step 5: Solve for x
   x = 3,560,388.46/2,178.81
6. Step 6: Final answer
   x = 1,634.10