Finding the Fourth Proportional to 12,934.32, 19,401.60 and 5,143.20

Step by Step Solution

1. Step 1: Write the proportion equation
   12,934.32 : 19,401.60 = 5,143.20 : x
2. Step 2: Convert to fraction form
   12,934.32/19,401.60 = 5,143.20/x
3. Step 3: Cross multiply
   12,934.32x = 19,401.60 × 5,143.20
4. Step 4: Simplify right side
   12,934.32x = 99,786,309.12
5. Step 5: Solve for x
   x = 99,786,309.12/12,934.32
6. Step 6: Final answer
   x = 7,714.85