Finding the Fourth Proportional to 1,453.85, 2,006.30 and 824.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,453.85 : 2,006.30 = 824.42 : x
2. Step 2: Convert to fraction form
   1,453.85/2,006.30 = 824.42/x
3. Step 3: Cross multiply
   1,453.85x = 2,006.30 × 824.42
4. Step 4: Simplify right side
   1,453.85x = 1,654,019.69
5. Step 5: Solve for x
   x = 1,654,019.69/1,453.85
6. Step 6: Final answer
   x = 1,137.69