Finding the Fourth Proportional to 1,805.72, 2,492.28 and 1,142.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,805.72 : 2,492.28 = 1,142.16 : x
2. Step 2: Convert to fraction form
   1,805.72/2,492.28 = 1,142.16/x
3. Step 3: Cross multiply
   1,805.72x = 2,492.28 × 1,142.16
4. Step 4: Simplify right side
   1,805.72x = 2,846,582.52
5. Step 5: Solve for x
   x = 2,846,582.52/1,805.72
6. Step 6: Final answer
   x = 1,576.43