Finding the Fourth Proportional to 2,467.72, 3,700.58 and 823.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,467.72 : 3,700.58 = 823.96 : x
2. Step 2: Convert to fraction form
   2,467.72/3,700.58 = 823.96/x
3. Step 3: Cross multiply
   2,467.72x = 3,700.58 × 823.96
4. Step 4: Simplify right side
   2,467.72x = 3,049,129.90
5. Step 5: Solve for x
   x = 3,049,129.90/2,467.72
6. Step 6: Final answer
   x = 1,235.61