Finding the Fourth Proportional to 2,005.30, 3,003.49 and 1,539.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.30 : 3,003.49 = 1,539.65 : x
2. Step 2: Convert to fraction form
   2,005.30/3,003.49 = 1,539.65/x
3. Step 3: Cross multiply
   2,005.30x = 3,003.49 × 1,539.65
4. Step 4: Simplify right side
   2,005.30x = 4,624,311.59
5. Step 5: Solve for x
   x = 4,624,311.59/2,005.30
6. Step 6: Final answer
   x = 2,306.05