Finding the Fourth Proportional to 1,488.61, 2,054.41 and 825.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.61 : 2,054.41 = 825.68 : x
2. Step 2: Convert to fraction form
   1,488.61/2,054.41 = 825.68/x
3. Step 3: Cross multiply
   1,488.61x = 2,054.41 × 825.68
4. Step 4: Simplify right side
   1,488.61x = 1,696,285.25
5. Step 5: Solve for x
   x = 1,696,285.25/1,488.61
6. Step 6: Final answer
   x = 1,139.51