Finding the Fourth Proportional to 1,384.49, 1,910.28 and 825.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.49 : 1,910.28 = 825.14 : x
2. Step 2: Convert to fraction form
   1,384.49/1,910.28 = 825.14/x
3. Step 3: Cross multiply
   1,384.49x = 1,910.28 × 825.14
4. Step 4: Simplify right side
   1,384.49x = 1,576,245.56
5. Step 5: Solve for x
   x = 1,576,245.56/1,384.49
6. Step 6: Final answer
   x = 1,138.50