Finding the Fourth Proportional to 1,453.34, 2,005.61 and 823.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,453.34 : 2,005.61 = 823.91 : x
2. Step 2: Convert to fraction form
   1,453.34/2,005.61 = 823.91/x
3. Step 3: Cross multiply
   1,453.34x = 2,005.61 × 823.91
4. Step 4: Simplify right side
   1,453.34x = 1,652,442.14
5. Step 5: Solve for x
   x = 1,652,442.14/1,453.34
6. Step 6: Final answer
   x = 1,137.00