Finding the Fourth Proportional to 9,867.36, 13,615.56 and 5,674.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,867.36 : 13,615.56 = 5,674.80 : x
2. Step 2: Convert to fraction form
   9,867.36/13,615.56 = 5,674.80/x
3. Step 3: Cross multiply
   9,867.36x = 13,615.56 × 5,674.80
4. Step 4: Simplify right side
   9,867.36x = 77,265,579.89
5. Step 5: Solve for x
   x = 77,265,579.89/9,867.36
6. Step 6: Final answer
   x = 7,830.42