Finding the Fourth Proportional to 1,488.43, 2,053.89 and 825.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.43 : 2,053.89 = 825.27 : x
2. Step 2: Convert to fraction form
   1,488.43/2,053.89 = 825.27/x
3. Step 3: Cross multiply
   1,488.43x = 2,053.89 × 825.27
4. Step 4: Simplify right side
   1,488.43x = 1,695,013.80
5. Step 5: Solve for x
   x = 1,695,013.80/1,488.43
6. Step 6: Final answer
   x = 1,138.79