Finding the Fourth Proportional to 2,579.92, 3,870.34 and 825.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,579.92 : 3,870.34 = 825.08 : x
2. Step 2: Convert to fraction form
   2,579.92/3,870.34 = 825.08/x
3. Step 3: Cross multiply
   2,579.92x = 3,870.34 × 825.08
4. Step 4: Simplify right side
   2,579.92x = 3,193,326.33
5. Step 5: Solve for x
   x = 3,193,326.33/2,579.92
6. Step 6: Final answer
   x = 1,237.76