Finding the Fourth Proportional to 2,872.72, 4,309.56 and 1,142.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,872.72 : 4,309.56 = 1,142.80 : x
2. Step 2: Convert to fraction form
   2,872.72/4,309.56 = 1,142.80/x
3. Step 3: Cross multiply
   2,872.72x = 4,309.56 × 1,142.80
4. Step 4: Simplify right side
   2,872.72x = 4,924,965.17
5. Step 5: Solve for x
   x = 4,924,965.17/2,872.72
6. Step 6: Final answer
   x = 1,714.39