Finding the Fourth Proportional to 9,395.76, 12,966.56 and 5,204

Step by Step Solution

1. Step 1: Write the proportion equation
   9,395.76 : 12,966.56 = 5,204 : x
2. Step 2: Convert to fraction form
   9,395.76/12,966.56 = 5,204/x
3. Step 3: Cross multiply
   9,395.76x = 12,966.56 × 5,204
4. Step 4: Simplify right side
   9,395.76x = 67,477,978.24
5. Step 5: Solve for x
   x = 67,477,978.24/9,395.76
6. Step 6: Final answer
   x = 7,181.75