Finding the Fourth Proportional to 2,466.98, 3,700.71 and 823.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,466.98 : 3,700.71 = 823.62 : x
2. Step 2: Convert to fraction form
   2,466.98/3,700.71 = 823.62/x
3. Step 3: Cross multiply
   2,466.98x = 3,700.71 × 823.62
4. Step 4: Simplify right side
   2,466.98x = 3,047,978.77
5. Step 5: Solve for x
   x = 3,047,978.77/2,466.98
6. Step 6: Final answer
   x = 1,235.51