Finding the Fourth Proportional to 5,126.81, 7,689.89 and 1,429.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,126.81 : 7,689.89 = 1,429.56 : x
2. Step 2: Convert to fraction form
   5,126.81/7,689.89 = 1,429.56/x
3. Step 3: Cross multiply
   5,126.81x = 7,689.89 × 1,429.56
4. Step 4: Simplify right side
   5,126.81x = 10,993,152.00
5. Step 5: Solve for x
   x = 10,993,152.00/5,126.81
6. Step 6: Final answer
   x = 2,144.25