Finding the Fourth Proportional to 9,728.10, 13,422.96 and 5,478.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,728.10 : 13,422.96 = 5,478.84 : x
2. Step 2: Convert to fraction form
   9,728.10/13,422.96 = 5,478.84/x
3. Step 3: Cross multiply
   9,728.10x = 13,422.96 × 5,478.84
4. Step 4: Simplify right side
   9,728.10x = 73,542,250.17
5. Step 5: Solve for x
   x = 73,542,250.17/9,728.10
6. Step 6: Final answer
   x = 7,559.78