Finding the Fourth Proportional to 2,089.31, 2,883.75 and 1,205.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.31 : 2,883.75 = 1,205.47 : x
2. Step 2: Convert to fraction form
   2,089.31/2,883.75 = 1,205.47/x
3. Step 3: Cross multiply
   2,089.31x = 2,883.75 × 1,205.47
4. Step 4: Simplify right side
   2,089.31x = 3,476,259.69
5. Step 5: Solve for x
   x = 3,476,259.69/2,089.31
6. Step 6: Final answer
   x = 1,663.83