Finding the Fourth Proportional to 1,325.10, 1,828.61 and 820.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,325.10 : 1,828.61 = 820.82 : x
2. Step 2: Convert to fraction form
   1,325.10/1,828.61 = 820.82/x
3. Step 3: Cross multiply
   1,325.10x = 1,828.61 × 820.82
4. Step 4: Simplify right side
   1,325.10x = 1,500,966.28
5. Step 5: Solve for x
   x = 1,500,966.28/1,325.10
6. Step 6: Final answer
   x = 1,132.72