Finding the Fourth Proportional to 1,385.20, 1,911.83 and 825.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,385.20 : 1,911.83 = 825.71 : x
2. Step 2: Convert to fraction form
   1,385.20/1,911.83 = 825.71/x
3. Step 3: Cross multiply
   1,385.20x = 1,911.83 × 825.71
4. Step 4: Simplify right side
   1,385.20x = 1,578,605.25
5. Step 5: Solve for x
   x = 1,578,605.25/1,385.20
6. Step 6: Final answer
   x = 1,139.62