Finding the Fourth Proportional to 2,671.89, 4,008.27 and 823.01

Step by Step Solution

1. Step 1: Write the proportion equation
   2,671.89 : 4,008.27 = 823.01 : x
2. Step 2: Convert to fraction form
   2,671.89/4,008.27 = 823.01/x
3. Step 3: Cross multiply
   2,671.89x = 4,008.27 × 823.01
4. Step 4: Simplify right side
   2,671.89x = 3,298,826.25
5. Step 5: Solve for x
   x = 3,298,826.25/2,671.89
6. Step 6: Final answer
   x = 1,234.64