Finding the Fourth Proportional to 10,947.78, 16,414.17 and 3,927.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,947.78 : 16,414.17 = 3,927.64 : x
2. Step 2: Convert to fraction form
   10,947.78/16,414.17 = 3,927.64/x
3. Step 3: Cross multiply
   10,947.78x = 16,414.17 × 3,927.64
4. Step 4: Simplify right side
   10,947.78x = 64,468,950.66
5. Step 5: Solve for x
   x = 64,468,950.66/10,947.78
6. Step 6: Final answer
   x = 5,888.77