Finding the Fourth Proportional to 1,384.40, 1,910.18 and 825.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.40 : 1,910.18 = 825.08 : x
2. Step 2: Convert to fraction form
   1,384.40/1,910.18 = 825.08/x
3. Step 3: Cross multiply
   1,384.40x = 1,910.18 × 825.08
4. Step 4: Simplify right side
   1,384.40x = 1,576,051.31
5. Step 5: Solve for x
   x = 1,576,051.31/1,384.40
6. Step 6: Final answer
   x = 1,138.44