Finding the Fourth Proportional to 2,672.52, 4,009.50 and 823.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,672.52 : 4,009.50 = 823.56 : x
2. Step 2: Convert to fraction form
   2,672.52/4,009.50 = 823.56/x
3. Step 3: Cross multiply
   2,672.52x = 4,009.50 × 823.56
4. Step 4: Simplify right side
   2,672.52x = 3,302,063.82
5. Step 5: Solve for x
   x = 3,302,063.82/2,672.52
6. Step 6: Final answer
   x = 1,235.56