Finding the Fourth Proportional to 3,768.64, 5,653.61 and 1,269.59

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.64 : 5,653.61 = 1,269.59 : x
2. Step 2: Convert to fraction form
   3,768.64/5,653.61 = 1,269.59/x
3. Step 3: Cross multiply
   3,768.64x = 5,653.61 × 1,269.59
4. Step 4: Simplify right side
   3,768.64x = 7,177,766.72
5. Step 5: Solve for x
   x = 7,177,766.72/3,768.64
6. Step 6: Final answer
   x = 1,904.60