Finding the Fourth Proportional to 9,695.29, 13,378.35 and 5,446.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,695.29 : 13,378.35 = 5,446.57 : x
2. Step 2: Convert to fraction form
   9,695.29/13,378.35 = 5,446.57/x
3. Step 3: Cross multiply
   9,695.29x = 13,378.35 × 5,446.57
4. Step 4: Simplify right side
   9,695.29x = 72,866,119.76
5. Step 5: Solve for x
   x = 72,866,119.76/9,695.29
6. Step 6: Final answer
   x = 7,515.62