Finding the Fourth Proportional to 2,005.58, 3,000.81 and 1,184.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.58 : 3,000.81 = 1,184.30 : x
2. Step 2: Convert to fraction form
   2,005.58/3,000.81 = 1,184.30/x
3. Step 3: Cross multiply
   2,005.58x = 3,000.81 × 1,184.30
4. Step 4: Simplify right side
   2,005.58x = 3,553,859.28
5. Step 5: Solve for x
   x = 3,553,859.28/2,005.58
6. Step 6: Final answer
   x = 1,771.99