Finding the Fourth Proportional to 9,695.57, 13,379.83 and 5,446.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,695.57 : 13,379.83 = 5,446.64 : x
2. Step 2: Convert to fraction form
   9,695.57/13,379.83 = 5,446.64/x
3. Step 3: Cross multiply
   9,695.57x = 13,379.83 × 5,446.64
4. Step 4: Simplify right side
   9,695.57x = 72,875,117.27
5. Step 5: Solve for x
   x = 72,875,117.27/9,695.57
6. Step 6: Final answer
   x = 7,516.33