Finding the Fourth Proportional to 1,164.24, 1,745.82 and 514.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.24 : 1,745.82 = 514.62 : x
2. Step 2: Convert to fraction form
   1,164.24/1,745.82 = 514.62/x
3. Step 3: Cross multiply
   1,164.24x = 1,745.82 × 514.62
4. Step 4: Simplify right side
   1,164.24x = 898,433.89
5. Step 5: Solve for x
   x = 898,433.89/1,164.24
6. Step 6: Final answer
   x = 771.69