Finding the Fourth Proportional to 1,488.87, 2,054.61 and 825.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.87 : 2,054.61 = 825.71 : x
2. Step 2: Convert to fraction form
   1,488.87/2,054.61 = 825.71/x
3. Step 3: Cross multiply
   1,488.87x = 2,054.61 × 825.71
4. Step 4: Simplify right side
   1,488.87x = 1,696,510.49
5. Step 5: Solve for x
   x = 1,696,510.49/1,488.87
6. Step 6: Final answer
   x = 1,139.46