Finding the Fourth Proportional to 9,388.56, 12,956.14 and 5,409.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,388.56 : 12,956.14 = 5,409.58 : x
2. Step 2: Convert to fraction form
   9,388.56/12,956.14 = 5,409.58/x
3. Step 3: Cross multiply
   9,388.56x = 12,956.14 × 5,409.58
4. Step 4: Simplify right side
   9,388.56x = 70,087,298.78
5. Step 5: Solve for x
   x = 70,087,298.78/9,388.56
6. Step 6: Final answer
   x = 7,465.18