Finding the Fourth Proportional to 10,424.30, 14,384.17 and 5,947.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,424.30 : 14,384.17 = 5,947.78 : x
2. Step 2: Convert to fraction form
   10,424.30/14,384.17 = 5,947.78/x
3. Step 3: Cross multiply
   10,424.30x = 14,384.17 × 5,947.78
4. Step 4: Simplify right side
   10,424.30x = 85,553,843.63
5. Step 5: Solve for x
   x = 85,553,843.63/10,424.30
6. Step 6: Final answer
   x = 8,207.16