Finding the Fourth Proportional to 3,642.44, 5,022.69 and 2,384.57

Step by Step Solution

1. Step 1: Write the proportion equation
   3,642.44 : 5,022.69 = 2,384.57 : x
2. Step 2: Convert to fraction form
   3,642.44/5,022.69 = 2,384.57/x
3. Step 3: Cross multiply
   3,642.44x = 5,022.69 × 2,384.57
4. Step 4: Simplify right side
   3,642.44x = 11,976,955.89
5. Step 5: Solve for x
   x = 11,976,955.89/3,642.44
6. Step 6: Final answer
   x = 3,288.17