Finding the Fourth Proportional to 3,106.86, 4,661.33 and 1,256.97

Step by Step Solution

1. Step 1: Write the proportion equation
   3,106.86 : 4,661.33 = 1,256.97 : x
2. Step 2: Convert to fraction form
   3,106.86/4,661.33 = 1,256.97/x
3. Step 3: Cross multiply
   3,106.86x = 4,661.33 × 1,256.97
4. Step 4: Simplify right side
   3,106.86x = 5,859,145.69
5. Step 5: Solve for x
   x = 5,859,145.69/3,106.86
6. Step 6: Final answer
   x = 1,885.87