Finding the Fourth Proportional to 1,488.42, 2,054.07 and 825.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.42 : 2,054.07 = 825.24 : x
2. Step 2: Convert to fraction form
   1,488.42/2,054.07 = 825.24/x
3. Step 3: Cross multiply
   1,488.42x = 2,054.07 × 825.24
4. Step 4: Simplify right side
   1,488.42x = 1,695,100.73
5. Step 5: Solve for x
   x = 1,695,100.73/1,488.42
6. Step 6: Final answer
   x = 1,138.86