Finding the Fourth Proportional to 1,297.38, 1,945.53 and 517.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297.38 : 1,945.53 = 517.76 : x
2. Step 2: Convert to fraction form
   1,297.38/1,945.53 = 517.76/x
3. Step 3: Cross multiply
   1,297.38x = 1,945.53 × 517.76
4. Step 4: Simplify right side
   1,297.38x = 1,007,307.89
5. Step 5: Solve for x
   x = 1,007,307.89/1,297.38
6. Step 6: Final answer
   x = 776.42