Finding the Fourth Proportional to 1,385.16, 1,911.84 and 825.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,385.16 : 1,911.84 = 825.96 : x
2. Step 2: Convert to fraction form
   1,385.16/1,911.84 = 825.96/x
3. Step 3: Cross multiply
   1,385.16x = 1,911.84 × 825.96
4. Step 4: Simplify right side
   1,385.16x = 1,579,103.37
5. Step 5: Solve for x
   x = 1,579,103.37/1,385.16
6. Step 6: Final answer
   x = 1,140.02