Finding the Fourth Proportional to 1,384.34, 1,910.63 and 825.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.34 : 1,910.63 = 825.13 : x
2. Step 2: Convert to fraction form
   1,384.34/1,910.63 = 825.13/x
3. Step 3: Cross multiply
   1,384.34x = 1,910.63 × 825.13
4. Step 4: Simplify right side
   1,384.34x = 1,576,504.45
5. Step 5: Solve for x
   x = 1,576,504.45/1,384.34
6. Step 6: Final answer
   x = 1,138.82