Finding the Fourth Proportional to 1,453.93, 2,006.60 and 824.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,453.93 : 2,006.60 = 824.56 : x
2. Step 2: Convert to fraction form
   1,453.93/2,006.60 = 824.56/x
3. Step 3: Cross multiply
   1,453.93x = 2,006.60 × 824.56
4. Step 4: Simplify right side
   1,453.93x = 1,654,562.10
5. Step 5: Solve for x
   x = 1,654,562.10/1,453.93
6. Step 6: Final answer
   x = 1,137.99