Finding the Fourth Proportional to 1,146.84, 1,721.16 and 838.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.84 : 1,721.16 = 838.82 : x
2. Step 2: Convert to fraction form
   1,146.84/1,721.16 = 838.82/x
3. Step 3: Cross multiply
   1,146.84x = 1,721.16 × 838.82
4. Step 4: Simplify right side
   1,146.84x = 1,443,743.43
5. Step 5: Solve for x
   x = 1,443,743.43/1,146.84
6. Step 6: Final answer
   x = 1,258.89