Finding the Fourth Proportional to 1,129.89, 1,694.37 and 514.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,129.89 : 1,694.37 = 514.02 : x
2. Step 2: Convert to fraction form
   1,129.89/1,694.37 = 514.02/x
3. Step 3: Cross multiply
   1,129.89x = 1,694.37 × 514.02
4. Step 4: Simplify right side
   1,129.89x = 870,940.07
5. Step 5: Solve for x
   x = 870,940.07/1,129.89
6. Step 6: Final answer
   x = 770.82