Finding the Fourth Proportional to 1,385.30, 1,911.06 and 825.44

Step by Step Solution

1. Step 1: Write the proportion equation
   1,385.30 : 1,911.06 = 825.44 : x
2. Step 2: Convert to fraction form
   1,385.30/1,911.06 = 825.44/x
3. Step 3: Cross multiply
   1,385.30x = 1,911.06 × 825.44
4. Step 4: Simplify right side
   1,385.30x = 1,577,465.37
5. Step 5: Solve for x
   x = 1,577,465.37/1,385.30
6. Step 6: Final answer
   x = 1,138.72