Finding the Fourth Proportional to 2,592.69, 3,889.53 and 838.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.69 : 3,889.53 = 838.17 : x
2. Step 2: Convert to fraction form
   2,592.69/3,889.53 = 838.17/x
3. Step 3: Cross multiply
   2,592.69x = 3,889.53 × 838.17
4. Step 4: Simplify right side
   2,592.69x = 3,260,087.36
5. Step 5: Solve for x
   x = 3,260,087.36/2,592.69
6. Step 6: Final answer
   x = 1,257.42