Finding the Fourth Proportional to 1,453.05, 2,005.16 and 823.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,453.05 : 2,005.16 = 823.59 : x
2. Step 2: Convert to fraction form
   1,453.05/2,005.16 = 823.59/x
3. Step 3: Cross multiply
   1,453.05x = 2,005.16 × 823.59
4. Step 4: Simplify right side
   1,453.05x = 1,651,425.61
5. Step 5: Solve for x
   x = 1,651,425.61/1,453.05
6. Step 6: Final answer
   x = 1,136.52