Finding the Fourth Proportional to 9,674.18, 13,350.75 and 5,695.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,674.18 : 13,350.75 = 5,695.10 : x
2. Step 2: Convert to fraction form
   9,674.18/13,350.75 = 5,695.10/x
3. Step 3: Cross multiply
   9,674.18x = 13,350.75 × 5,695.10
4. Step 4: Simplify right side
   9,674.18x = 76,033,856.33
5. Step 5: Solve for x
   x = 76,033,856.33/9,674.18
6. Step 6: Final answer
   x = 7,859.46