Finding the Fourth Proportional to 9,674.40, 13,349.40 and 5,694.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,674.40 : 13,349.40 = 5,694.72 : x
2. Step 2: Convert to fraction form
   9,674.40/13,349.40 = 5,694.72/x
3. Step 3: Cross multiply
   9,674.40x = 13,349.40 × 5,694.72
4. Step 4: Simplify right side
   9,674.40x = 76,021,095.17
5. Step 5: Solve for x
   x = 76,021,095.17/9,674.40
6. Step 6: Final answer
   x = 7,857.96