Finding the Fourth Proportional to 9,728.41, 13,423.86 and 5,478.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,728.41 : 13,423.86 = 5,478.76 : x
2. Step 2: Convert to fraction form
   9,728.41/13,423.86 = 5,478.76/x
3. Step 3: Cross multiply
   9,728.41x = 13,423.86 × 5,478.76
4. Step 4: Simplify right side
   9,728.41x = 73,546,107.21
5. Step 5: Solve for x
   x = 73,546,107.21/9,728.41
6. Step 6: Final answer
   x = 7,559.93