Finding the Fourth Proportional to 2,045.48, 2,822.82 and 1,206.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,045.48 : 2,822.82 = 1,206.24 : x
2. Step 2: Convert to fraction form
   2,045.48/2,822.82 = 1,206.24/x
3. Step 3: Cross multiply
   2,045.48x = 2,822.82 × 1,206.24
4. Step 4: Simplify right side
   2,045.48x = 3,404,998.40
5. Step 5: Solve for x
   x = 3,404,998.40/2,045.48
6. Step 6: Final answer
   x = 1,664.65