Finding the Fourth Proportional to 12,949.54, 19,424.28 and 5,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,949.54 : 19,424.28 = 5,156.50 : x
2. Step 2: Convert to fraction form
   12,949.54/19,424.28 = 5,156.50/x
3. Step 3: Cross multiply
   12,949.54x = 19,424.28 × 5,156.50
4. Step 4: Simplify right side
   12,949.54x = 100,161,299.82
5. Step 5: Solve for x
   x = 100,161,299.82/12,949.54
6. Step 6: Final answer
   x = 7,734.74