Finding the Fourth Proportional to 1,445.69, 1,995.05 and 824.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,445.69 : 1,995.05 = 824.69 : x
2. Step 2: Convert to fraction form
   1,445.69/1,995.05 = 824.69/x
3. Step 3: Cross multiply
   1,445.69x = 1,995.05 × 824.69
4. Step 4: Simplify right side
   1,445.69x = 1,645,292.80
5. Step 5: Solve for x
   x = 1,645,292.80/1,445.69
6. Step 6: Final answer
   x = 1,138.07