Finding the Fourth Proportional to 2,045.60, 2,822.61 and 1,149.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,045.60 : 2,822.61 = 1,149.16 : x
2. Step 2: Convert to fraction form
   2,045.60/2,822.61 = 1,149.16/x
3. Step 3: Cross multiply
   2,045.60x = 2,822.61 × 1,149.16
4. Step 4: Simplify right side
   2,045.60x = 3,243,634.04
5. Step 5: Solve for x
   x = 3,243,634.04/2,045.60
6. Step 6: Final answer
   x = 1,585.67