Finding the Fourth Proportional to 3,766.42, 5,199.82 and 2,509.24

Step by Step Solution

1. Step 1: Write the proportion equation
   3,766.42 : 5,199.82 = 2,509.24 : x
2. Step 2: Convert to fraction form
   3,766.42/5,199.82 = 2,509.24/x
3. Step 3: Cross multiply
   3,766.42x = 5,199.82 × 2,509.24
4. Step 4: Simplify right side
   3,766.42x = 13,047,596.34
5. Step 5: Solve for x
   x = 13,047,596.34/3,766.42
6. Step 6: Final answer
   x = 3,464.19