Finding the Fourth Proportional to 2,045.30, 2,823.14 and 1,205.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,045.30 : 2,823.14 = 1,205.94 : x
2. Step 2: Convert to fraction form
   2,045.30/2,823.14 = 1,205.94/x
3. Step 3: Cross multiply
   2,045.30x = 2,823.14 × 1,205.94
4. Step 4: Simplify right side
   2,045.30x = 3,404,531.42
5. Step 5: Solve for x
   x = 3,404,531.42/2,045.30
6. Step 6: Final answer
   x = 1,664.56