Finding the Fourth Proportional to 9,171.78, 12,656.24 and 5,395.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,171.78 : 12,656.24 = 5,395.10 : x
2. Step 2: Convert to fraction form
   9,171.78/12,656.24 = 5,395.10/x
3. Step 3: Cross multiply
   9,171.78x = 12,656.24 × 5,395.10
4. Step 4: Simplify right side
   9,171.78x = 68,281,680.42
5. Step 5: Solve for x
   x = 68,281,680.42/9,171.78
6. Step 6: Final answer
   x = 7,444.76