Finding the Fourth Proportional to 2,178.75, 3,006.71 and 1,184.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.75 : 3,006.71 = 1,184.05 : x
2. Step 2: Convert to fraction form
   2,178.75/3,006.71 = 1,184.05/x
3. Step 3: Cross multiply
   2,178.75x = 3,006.71 × 1,184.05
4. Step 4: Simplify right side
   2,178.75x = 3,560,074.02
5. Step 5: Solve for x
   x = 3,560,074.02/2,178.75
6. Step 6: Final answer
   x = 1,634.00