Finding the Fourth Proportional to 2,467.16, 3,700.59 and 823.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,467.16 : 3,700.59 = 823.57 : x
2. Step 2: Convert to fraction form
   2,467.16/3,700.59 = 823.57/x
3. Step 3: Cross multiply
   2,467.16x = 3,700.59 × 823.57
4. Step 4: Simplify right side
   2,467.16x = 3,047,682.57
5. Step 5: Solve for x
   x = 3,047,682.57/2,467.16
6. Step 6: Final answer
   x = 1,235.30