Finding the Fourth Proportional to 9,171.24, 12,656.31 and 5,192.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,171.24 : 12,656.31 = 5,192.35 : x
2. Step 2: Convert to fraction form
   9,171.24/12,656.31 = 5,192.35/x
3. Step 3: Cross multiply
   9,171.24x = 12,656.31 × 5,192.35
4. Step 4: Simplify right side
   9,171.24x = 65,716,040.52
5. Step 5: Solve for x
   x = 65,716,040.52/9,171.24
6. Step 6: Final answer
   x = 7,165.45