Finding the Fourth Proportional to 2,124.24, 3,186.84 and 825.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,124.24 : 3,186.84 = 825.72 : x
2. Step 2: Convert to fraction form
   2,124.24/3,186.84 = 825.72/x
3. Step 3: Cross multiply
   2,124.24x = 3,186.84 × 825.72
4. Step 4: Simplify right side
   2,124.24x = 2,631,437.52
5. Step 5: Solve for x
   x = 2,631,437.52/2,124.24
6. Step 6: Final answer
   x = 1,238.77