Finding the Fourth Proportional to 1,488.86, 2,054.67 and 825.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.86 : 2,054.67 = 825.80 : x
2. Step 2: Convert to fraction form
   1,488.86/2,054.67 = 825.80/x
3. Step 3: Cross multiply
   1,488.86x = 2,054.67 × 825.80
4. Step 4: Simplify right side
   1,488.86x = 1,696,746.49
5. Step 5: Solve for x
   x = 1,696,746.49/1,488.86
6. Step 6: Final answer
   x = 1,139.63