Finding the Fourth Proportional to 3,768.56, 5,653.37 and 1,429.43

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.56 : 5,653.37 = 1,429.43 : x
2. Step 2: Convert to fraction form
   3,768.56/5,653.37 = 1,429.43/x
3. Step 3: Cross multiply
   3,768.56x = 5,653.37 × 1,429.43
4. Step 4: Simplify right side
   3,768.56x = 8,081,061.27
5. Step 5: Solve for x
   x = 8,081,061.27/3,768.56
6. Step 6: Final answer
   x = 2,144.34