Finding the Fourth Proportional to 2,123.40, 3,185.82 and 825

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.40 : 3,185.82 = 825 : x
2. Step 2: Convert to fraction form
   2,123.40/3,185.82 = 825/x
3. Step 3: Cross multiply
   2,123.40x = 3,185.82 × 825
4. Step 4: Simplify right side
   2,123.40x = 2,628,301.50
5. Step 5: Solve for x
   x = 2,628,301.50/2,123.40
6. Step 6: Final answer
   x = 1,237.78