Finding the Fourth Proportional to 9,674.16, 13,350.34 and 5,697.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,674.16 : 13,350.34 = 5,697.72 : x
2. Step 2: Convert to fraction form
   9,674.16/13,350.34 = 5,697.72/x
3. Step 3: Cross multiply
   9,674.16x = 13,350.34 × 5,697.72
4. Step 4: Simplify right side
   9,674.16x = 76,066,506.35
5. Step 5: Solve for x
   x = 76,066,506.35/9,674.16
6. Step 6: Final answer
   x = 7,862.86