Finding the Fourth Proportional to 2,123.60, 3,185.67 and 824.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.60 : 3,185.67 = 824.90 : x
2. Step 2: Convert to fraction form
   2,123.60/3,185.67 = 824.90/x
3. Step 3: Cross multiply
   2,123.60x = 3,185.67 × 824.90
4. Step 4: Simplify right side
   2,123.60x = 2,627,859.18
5. Step 5: Solve for x
   x = 2,627,859.18/2,123.60
6. Step 6: Final answer
   x = 1,237.45