Finding the Fourth Proportional to 2,364.56, 3,546.88 and 825.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,364.56 : 3,546.88 = 825.52 : x
2. Step 2: Convert to fraction form
   2,364.56/3,546.88 = 825.52/x
3. Step 3: Cross multiply
   2,364.56x = 3,546.88 × 825.52
4. Step 4: Simplify right side
   2,364.56x = 2,928,020.38
5. Step 5: Solve for x
   x = 2,928,020.38/2,364.56
6. Step 6: Final answer
   x = 1,238.29