Finding the Fourth Proportional to 2,049.22, 2,827.93 and 1,164.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,049.22 : 2,827.93 = 1,164.82 : x
2. Step 2: Convert to fraction form
   2,049.22/2,827.93 = 1,164.82/x
3. Step 3: Cross multiply
   2,049.22x = 2,827.93 × 1,164.82
4. Step 4: Simplify right side
   2,049.22x = 3,294,029.42
5. Step 5: Solve for x
   x = 3,294,029.42/2,049.22
6. Step 6: Final answer
   x = 1,607.46