Finding the Fourth Proportional to 2,124.10, 3,186.42 and 825.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,124.10 : 3,186.42 = 825.40 : x
2. Step 2: Convert to fraction form
   2,124.10/3,186.42 = 825.40/x
3. Step 3: Cross multiply
   2,124.10x = 3,186.42 × 825.40
4. Step 4: Simplify right side
   2,124.10x = 2,630,071.07
5. Step 5: Solve for x
   x = 2,630,071.07/2,124.10
6. Step 6: Final answer
   x = 1,238.20