Finding the Fourth Proportional to 1,384.99, 1,911.68 and 825.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.99 : 1,911.68 = 825.28 : x
2. Step 2: Convert to fraction form
   1,384.99/1,911.68 = 825.28/x
3. Step 3: Cross multiply
   1,384.99x = 1,911.68 × 825.28
4. Step 4: Simplify right side
   1,384.99x = 1,577,671.27
5. Step 5: Solve for x
   x = 1,577,671.27/1,384.99
6. Step 6: Final answer
   x = 1,139.12