Finding the Fourth Proportional to 1,488.62, 2,054.18 and 825.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.62 : 2,054.18 = 825.42 : x
2. Step 2: Convert to fraction form
   1,488.62/2,054.18 = 825.42/x
3. Step 3: Cross multiply
   1,488.62x = 2,054.18 × 825.42
4. Step 4: Simplify right side
   1,488.62x = 1,695,561.26
5. Step 5: Solve for x
   x = 1,695,561.26/1,488.62
6. Step 6: Final answer
   x = 1,139.02