Finding the Fourth Proportional to 1,384.83, 1,911.53 and 825.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.83 : 1,911.53 = 825.47 : x
2. Step 2: Convert to fraction form
   1,384.83/1,911.53 = 825.47/x
3. Step 3: Cross multiply
   1,384.83x = 1,911.53 × 825.47
4. Step 4: Simplify right side
   1,384.83x = 1,577,921.10
5. Step 5: Solve for x
   x = 1,577,921.10/1,384.83
6. Step 6: Final answer
   x = 1,139.43