Finding the Fourth Proportional to 2,585.25, 3,878.35 and 830.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.25 : 3,878.35 = 830.52 : x
2. Step 2: Convert to fraction form
   2,585.25/3,878.35 = 830.52/x
3. Step 3: Cross multiply
   2,585.25x = 3,878.35 × 830.52
4. Step 4: Simplify right side
   2,585.25x = 3,221,045.17
5. Step 5: Solve for x
   x = 3,221,045.17/2,585.25
6. Step 6: Final answer
   x = 1,245.93