Finding the Fourth Proportional to 2,085.89, 3,129.14 and 769.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.89 : 3,129.14 = 769.43 : x
2. Step 2: Convert to fraction form
   2,085.89/3,129.14 = 769.43/x
3. Step 3: Cross multiply
   2,085.89x = 3,129.14 × 769.43
4. Step 4: Simplify right side
   2,085.89x = 2,407,663.94
5. Step 5: Solve for x
   x = 2,407,663.94/2,085.89
6. Step 6: Final answer
   x = 1,154.26