Finding the Fourth Proportional to 2,089.64, 2,883.72 and 1,205.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.64 : 2,883.72 = 1,205.46 : x
2. Step 2: Convert to fraction form
   2,089.64/2,883.72 = 1,205.46/x
3. Step 3: Cross multiply
   2,089.64x = 2,883.72 × 1,205.46
4. Step 4: Simplify right side
   2,089.64x = 3,476,209.11
5. Step 5: Solve for x
   x = 3,476,209.11/2,089.64
6. Step 6: Final answer
   x = 1,663.54