Finding the Fourth Proportional to 1,129.89, 1,695.10 and 513.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,129.89 : 1,695.10 = 513.69 : x
2. Step 2: Convert to fraction form
   1,129.89/1,695.10 = 513.69/x
3. Step 3: Cross multiply
   1,129.89x = 1,695.10 × 513.69
4. Step 4: Simplify right side
   1,129.89x = 870,751.61
5. Step 5: Solve for x
   x = 870,751.61/1,129.89
6. Step 6: Final answer
   x = 770.65