Finding the Fourth Proportional to 1,322.06, 1,824.32 and 817.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,322.06 : 1,824.32 = 817.82 : x
2. Step 2: Convert to fraction form
   1,322.06/1,824.32 = 817.82/x
3. Step 3: Cross multiply
   1,322.06x = 1,824.32 × 817.82
4. Step 4: Simplify right side
   1,322.06x = 1,491,965.38
5. Step 5: Solve for x
   x = 1,491,965.38/1,322.06
6. Step 6: Final answer
   x = 1,128.52