Finding the Fourth Proportional to 1,488.76, 2,054.40 and 825.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.76 : 2,054.40 = 825.57 : x
2. Step 2: Convert to fraction form
   1,488.76/2,054.40 = 825.57/x
3. Step 3: Cross multiply
   1,488.76x = 2,054.40 × 825.57
4. Step 4: Simplify right side
   1,488.76x = 1,696,046.88
5. Step 5: Solve for x
   x = 1,696,046.88/1,488.76
6. Step 6: Final answer
   x = 1,139.24