Finding the Fourth Proportional to 5,127.50, 7,690.46 and 1,429.34

Step by Step Solution

1. Step 1: Write the proportion equation
   5,127.50 : 7,690.46 = 1,429.34 : x
2. Step 2: Convert to fraction form
   5,127.50/7,690.46 = 1,429.34/x
3. Step 3: Cross multiply
   5,127.50x = 7,690.46 × 1,429.34
4. Step 4: Simplify right side
   5,127.50x = 10,992,282.10
5. Step 5: Solve for x
   x = 10,992,282.10/5,127.50
6. Step 6: Final answer
   x = 2,143.79