Finding the Fourth Proportional to 9,471.56, 13,069.60 and 5,438.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,471.56 : 13,069.60 = 5,438.16 : x
2. Step 2: Convert to fraction form
   9,471.56/13,069.60 = 5,438.16/x
3. Step 3: Cross multiply
   9,471.56x = 13,069.60 × 5,438.16
4. Step 4: Simplify right side
   9,471.56x = 71,074,575.94
5. Step 5: Solve for x
   x = 71,074,575.94/9,471.56
6. Step 6: Final answer
   x = 7,504.00