Finding the Fourth Proportional to 3,101.63, 4,653.83 and 1,256.35

Step by Step Solution

1. Step 1: Write the proportion equation
   3,101.63 : 4,653.83 = 1,256.35 : x
2. Step 2: Convert to fraction form
   3,101.63/4,653.83 = 1,256.35/x
3. Step 3: Cross multiply
   3,101.63x = 4,653.83 × 1,256.35
4. Step 4: Simplify right side
   3,101.63x = 5,846,839.32
5. Step 5: Solve for x
   x = 5,846,839.32/3,101.63
6. Step 6: Final answer
   x = 1,885.09