Finding the Fourth Proportional to 1,488.48, 2,054.07 and 825.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.48 : 2,054.07 = 825.33 : x
2. Step 2: Convert to fraction form
   1,488.48/2,054.07 = 825.33/x
3. Step 3: Cross multiply
   1,488.48x = 2,054.07 × 825.33
4. Step 4: Simplify right side
   1,488.48x = 1,695,285.59
5. Step 5: Solve for x
   x = 1,695,285.59/1,488.48
6. Step 6: Final answer
   x = 1,138.94