Finding the Fourth Proportional to 1,429.37, 2,142.16 and 769.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.37 : 2,142.16 = 769.62 : x
2. Step 2: Convert to fraction form
   1,429.37/2,142.16 = 769.62/x
3. Step 3: Cross multiply
   1,429.37x = 2,142.16 × 769.62
4. Step 4: Simplify right side
   1,429.37x = 1,648,655.29
5. Step 5: Solve for x
   x = 1,648,655.29/1,429.37
6. Step 6: Final answer
   x = 1,153.41