Finding the Fourth Proportional to 9,867.12, 13,613.58 and 5,674.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,867.12 : 13,613.58 = 5,674.56 : x
2. Step 2: Convert to fraction form
   9,867.12/13,613.58 = 5,674.56/x
3. Step 3: Cross multiply
   9,867.12x = 13,613.58 × 5,674.56
4. Step 4: Simplify right side
   9,867.12x = 77,251,076.52
5. Step 5: Solve for x
   x = 77,251,076.52/9,867.12
6. Step 6: Final answer
   x = 7,829.14