Finding the Fourth Proportional to 9,376.56, 12,940.20 and 5,185.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,376.56 : 12,940.20 = 5,185.20 : x
2. Step 2: Convert to fraction form
   9,376.56/12,940.20 = 5,185.20/x
3. Step 3: Cross multiply
   9,376.56x = 12,940.20 × 5,185.20
4. Step 4: Simplify right side
   9,376.56x = 67,097,525.04
5. Step 5: Solve for x
   x = 67,097,525.04/9,376.56
6. Step 6: Final answer
   x = 7,155.88