Finding the Fourth Proportional to 1,453.98, 2,006.56 and 824.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,453.98 : 2,006.56 = 824.53 : x
2. Step 2: Convert to fraction form
   1,453.98/2,006.56 = 824.53/x
3. Step 3: Cross multiply
   1,453.98x = 2,006.56 × 824.53
4. Step 4: Simplify right side
   1,453.98x = 1,654,468.92
5. Step 5: Solve for x
   x = 1,654,468.92/1,453.98
6. Step 6: Final answer
   x = 1,137.89