Finding the Fourth Proportional to 1,003.52, 1,382.46 and 825.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.52 : 1,382.46 = 825.32 : x
2. Step 2: Convert to fraction form
   1,003.52/1,382.46 = 825.32/x
3. Step 3: Cross multiply
   1,003.52x = 1,382.46 × 825.32
4. Step 4: Simplify right side
   1,003.52x = 1,140,971.89
5. Step 5: Solve for x
   x = 1,140,971.89/1,003.52
6. Step 6: Final answer
   x = 1,136.97