Finding the Fourth Proportional to 2,045.49, 2,822.75 and 1,206.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,045.49 : 2,822.75 = 1,206.23 : x
2. Step 2: Convert to fraction form
   2,045.49/2,822.75 = 1,206.23/x
3. Step 3: Cross multiply
   2,045.49x = 2,822.75 × 1,206.23
4. Step 4: Simplify right side
   2,045.49x = 3,404,870.11
5. Step 5: Solve for x
   x = 3,404,870.11/2,045.49
6. Step 6: Final answer
   x = 1,664.58