Finding the Fourth Proportional to 2,005.49, 3,008.66 and 1,184.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.49 : 3,008.66 = 1,184.37 : x
2. Step 2: Convert to fraction form
   2,005.49/3,008.66 = 1,184.37/x
3. Step 3: Cross multiply
   2,005.49x = 3,008.66 × 1,184.37
4. Step 4: Simplify right side
   2,005.49x = 3,563,360.72
5. Step 5: Solve for x
   x = 3,563,360.72/2,005.49
6. Step 6: Final answer
   x = 1,776.81