Finding the Fourth Proportional to 2,123.45, 3,185.37 and 825.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.45 : 3,185.37 = 825.02 : x
2. Step 2: Convert to fraction form
   2,123.45/3,185.37 = 825.02/x
3. Step 3: Cross multiply
   2,123.45x = 3,185.37 × 825.02
4. Step 4: Simplify right side
   2,123.45x = 2,627,978.03
5. Step 5: Solve for x
   x = 2,627,978.03/2,123.45
6. Step 6: Final answer
   x = 1,237.60