Finding the Fourth Proportional to 1,162.14, 1,604.17 and 769.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.14 : 1,604.17 = 769.29 : x
2. Step 2: Convert to fraction form
   1,162.14/1,604.17 = 769.29/x
3. Step 3: Cross multiply
   1,162.14x = 1,604.17 × 769.29
4. Step 4: Simplify right side
   1,162.14x = 1,234,071.94
5. Step 5: Solve for x
   x = 1,234,071.94/1,162.14
6. Step 6: Final answer
   x = 1,061.90