Finding the Fourth Proportional to 1,141.20, 1,572.56 and 825.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.20 : 1,572.56 = 825.92 : x
2. Step 2: Convert to fraction form
   1,141.20/1,572.56 = 825.92/x
3. Step 3: Cross multiply
   1,141.20x = 1,572.56 × 825.92
4. Step 4: Simplify right side
   1,141.20x = 1,298,796.76
5. Step 5: Solve for x
   x = 1,298,796.76/1,141.20
6. Step 6: Final answer
   x = 1,138.10