Finding the Fourth Proportional to 1,822.42, 2,514.96 and 1,114.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.42 : 2,514.96 = 1,114.18 : x
2. Step 2: Convert to fraction form
   1,822.42/2,514.96 = 1,114.18/x
3. Step 3: Cross multiply
   1,822.42x = 2,514.96 × 1,114.18
4. Step 4: Simplify right side
   1,822.42x = 2,802,118.13
5. Step 5: Solve for x
   x = 2,802,118.13/1,822.42
6. Step 6: Final answer
   x = 1,537.58