Finding the Fourth Proportional to 1,822.44, 2,514.56 and 1,160.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.44 : 2,514.56 = 1,160.27 : x
2. Step 2: Convert to fraction form
   1,822.44/2,514.56 = 1,160.27/x
3. Step 3: Cross multiply
   1,822.44x = 2,514.56 × 1,160.27
4. Step 4: Simplify right side
   1,822.44x = 2,917,558.86
5. Step 5: Solve for x
   x = 2,917,558.86/1,822.44
6. Step 6: Final answer
   x = 1,600.91