Finding the Fourth Proportional to 1,332.27, 1,997.69 and 510.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,332.27 : 1,997.69 = 510.37 : x
2. Step 2: Convert to fraction form
   1,332.27/1,997.69 = 510.37/x
3. Step 3: Cross multiply
   1,332.27x = 1,997.69 × 510.37
4. Step 4: Simplify right side
   1,332.27x = 1,019,561.05
5. Step 5: Solve for x
   x = 1,019,561.05/1,332.27
6. Step 6: Final answer
   x = 765.28