Finding the Fourth Proportional to 2,045.12, 2,822.38 and 1,206.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,045.12 : 2,822.38 = 1,206.31 : x
2. Step 2: Convert to fraction form
   2,045.12/2,822.38 = 1,206.31/x
3. Step 3: Cross multiply
   2,045.12x = 2,822.38 × 1,206.31
4. Step 4: Simplify right side
   2,045.12x = 3,404,666.24
5. Step 5: Solve for x
   x = 3,404,666.24/2,045.12
6. Step 6: Final answer
   x = 1,664.78