Finding the Fourth Proportional to 9,478.64, 13,081.11 and 5,446.73

Step by Step Solution

1. Step 1: Write the proportion equation
   9,478.64 : 13,081.11 = 5,446.73 : x
2. Step 2: Convert to fraction form
   9,478.64/13,081.11 = 5,446.73/x
3. Step 3: Cross multiply
   9,478.64x = 13,081.11 × 5,446.73
4. Step 4: Simplify right side
   9,478.64x = 71,249,274.27
5. Step 5: Solve for x
   x = 71,249,274.27/9,478.64
6. Step 6: Final answer
   x = 7,516.82