Finding the Fourth Proportional to 1,488.98, 2,054.78 and 825.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.98 : 2,054.78 = 825.86 : x
2. Step 2: Convert to fraction form
   1,488.98/2,054.78 = 825.86/x
3. Step 3: Cross multiply
   1,488.98x = 2,054.78 × 825.86
4. Step 4: Simplify right side
   1,488.98x = 1,696,960.61
5. Step 5: Solve for x
   x = 1,696,960.61/1,488.98
6. Step 6: Final answer
   x = 1,139.68