Finding the Fourth Proportional to 1,453.94, 2,006.31 and 824.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,453.94 : 2,006.31 = 824.52 : x
2. Step 2: Convert to fraction form
   1,453.94/2,006.31 = 824.52/x
3. Step 3: Cross multiply
   1,453.94x = 2,006.31 × 824.52
4. Step 4: Simplify right side
   1,453.94x = 1,654,242.72
5. Step 5: Solve for x
   x = 1,654,242.72/1,453.94
6. Step 6: Final answer
   x = 1,137.77