Finding the Fourth Proportional to 2,468.50, 3,702.42 and 825.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,468.50 : 3,702.42 = 825.02 : x
2. Step 2: Convert to fraction form
   2,468.50/3,702.42 = 825.02/x
3. Step 3: Cross multiply
   2,468.50x = 3,702.42 × 825.02
4. Step 4: Simplify right side
   2,468.50x = 3,054,570.55
5. Step 5: Solve for x
   x = 3,054,570.55/2,468.50
6. Step 6: Final answer
   x = 1,237.42