Finding the Fourth Proportional to 1,488.94, 2,054.79 and 825.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.94 : 2,054.79 = 825.78 : x
2. Step 2: Convert to fraction form
   1,488.94/2,054.79 = 825.78/x
3. Step 3: Cross multiply
   1,488.94x = 2,054.79 × 825.78
4. Step 4: Simplify right side
   1,488.94x = 1,696,804.49
5. Step 5: Solve for x
   x = 1,696,804.49/1,488.94
6. Step 6: Final answer
   x = 1,139.61