Finding the Fourth Proportional to 12,854.24, 17,741.12 and 7,478.34

Step by Step Solution

1. Step 1: Write the proportion equation
   12,854.24 : 17,741.12 = 7,478.34 : x
2. Step 2: Convert to fraction form
   12,854.24/17,741.12 = 7,478.34/x
3. Step 3: Cross multiply
   12,854.24x = 17,741.12 × 7,478.34
4. Step 4: Simplify right side
   12,854.24x = 132,674,127.34
5. Step 5: Solve for x
   x = 132,674,127.34/12,854.24
6. Step 6: Final answer
   x = 10,321.43