Finding the Fourth Proportional to 12,949.74, 19,434.06 and 5,160.78

Step by Step Solution

1. Step 1: Write the proportion equation
   12,949.74 : 19,434.06 = 5,160.78 : x
2. Step 2: Convert to fraction form
   12,949.74/19,434.06 = 5,160.78/x
3. Step 3: Cross multiply
   12,949.74x = 19,434.06 × 5,160.78
4. Step 4: Simplify right side
   12,949.74x = 100,294,908.17
5. Step 5: Solve for x
   x = 100,294,908.17/12,949.74
6. Step 6: Final answer
   x = 7,744.94