Finding the Fourth Proportional to 2,089.34, 2,883.24 and 1,205.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.34 : 2,883.24 = 1,205.09 : x
2. Step 2: Convert to fraction form
   2,089.34/2,883.24 = 1,205.09/x
3. Step 3: Cross multiply
   2,089.34x = 2,883.24 × 1,205.09
4. Step 4: Simplify right side
   2,089.34x = 3,474,549.28
5. Step 5: Solve for x
   x = 3,474,549.28/2,089.34
6. Step 6: Final answer
   x = 1,662.99