Finding the Fourth Proportional to 2,377.47, 3,564.68 and 1,142.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,377.47 : 3,564.68 = 1,142.42 : x
2. Step 2: Convert to fraction form
   2,377.47/3,564.68 = 1,142.42/x
3. Step 3: Cross multiply
   2,377.47x = 3,564.68 × 1,142.42
4. Step 4: Simplify right side
   2,377.47x = 4,072,361.73
5. Step 5: Solve for x
   x = 4,072,361.73/2,377.47
6. Step 6: Final answer
   x = 1,712.90