Finding the Fourth Proportional to 1,488.78, 2,054.48 and 825.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.78 : 2,054.48 = 825.62 : x
2. Step 2: Convert to fraction form
   1,488.78/2,054.48 = 825.62/x
3. Step 3: Cross multiply
   1,488.78x = 2,054.48 × 825.62
4. Step 4: Simplify right side
   1,488.78x = 1,696,205.38
5. Step 5: Solve for x
   x = 1,696,205.38/1,488.78
6. Step 6: Final answer
   x = 1,139.33