Finding the Fourth Proportional to 2,122.88, 3,185.16 and 824.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,122.88 : 3,185.16 = 824.72 : x
2. Step 2: Convert to fraction form
   2,122.88/3,185.16 = 824.72/x
3. Step 3: Cross multiply
   2,122.88x = 3,185.16 × 824.72
4. Step 4: Simplify right side
   2,122.88x = 2,626,865.16
5. Step 5: Solve for x
   x = 2,626,865.16/2,122.88
6. Step 6: Final answer
   x = 1,237.41