Finding the Fourth Proportional to 3,897.14, 5,846.60 and 1,123.83

Step by Step Solution

1. Step 1: Write the proportion equation
   3,897.14 : 5,846.60 = 1,123.83 : x
2. Step 2: Convert to fraction form
   3,897.14/5,846.60 = 1,123.83/x
3. Step 3: Cross multiply
   3,897.14x = 5,846.60 × 1,123.83
4. Step 4: Simplify right side
   3,897.14x = 6,570,578.86
5. Step 5: Solve for x
   x = 6,570,578.86/3,897.14
6. Step 6: Final answer
   x = 1,686.00