Finding the Fourth Proportional to 2,005.34, 2,765.90 and 1,447.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.34 : 2,765.90 = 1,447.65 : x
2. Step 2: Convert to fraction form
   2,005.34/2,765.90 = 1,447.65/x
3. Step 3: Cross multiply
   2,005.34x = 2,765.90 × 1,447.65
4. Step 4: Simplify right side
   2,005.34x = 4,004,047.90
5. Step 5: Solve for x
   x = 4,004,047.90/2,005.34
6. Step 6: Final answer
   x = 1,996.70