Finding the Fourth Proportional to 1,488.36, 2,053.98 and 825.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.36 : 2,053.98 = 825.30 : x
2. Step 2: Convert to fraction form
   1,488.36/2,053.98 = 825.30/x
3. Step 3: Cross multiply
   1,488.36x = 2,053.98 × 825.30
4. Step 4: Simplify right side
   1,488.36x = 1,695,149.69
5. Step 5: Solve for x
   x = 1,695,149.69/1,488.36
6. Step 6: Final answer
   x = 1,138.94