Finding the Fourth Proportional to 1,453.91, 2,006.33 and 824.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,453.91 : 2,006.33 = 824.40 : x
2. Step 2: Convert to fraction form
   1,453.91/2,006.33 = 824.40/x
3. Step 3: Cross multiply
   1,453.91x = 2,006.33 × 824.40
4. Step 4: Simplify right side
   1,453.91x = 1,654,018.45
5. Step 5: Solve for x
   x = 1,654,018.45/1,453.91
6. Step 6: Final answer
   x = 1,137.63