Finding the Fourth Proportional to 1,013.78, 1,517.00 and 838.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013.78 : 1,517.00 = 838.82 : x
2. Step 2: Convert to fraction form
   1,013.78/1,517.00 = 838.82/x
3. Step 3: Cross multiply
   1,013.78x = 1,517.00 × 838.82
4. Step 4: Simplify right side
   1,013.78x = 1,272,489.54
5. Step 5: Solve for x
   x = 1,272,489.54/1,013.78
6. Step 6: Final answer
   x = 1,255.19