Finding the Fourth Proportional to 10,595.18, 14,616.78 and 6,401

Step by Step Solution

1. Step 1: Write the proportion equation
   10,595.18 : 14,616.78 = 6,401 : x
2. Step 2: Convert to fraction form
   10,595.18/14,616.78 = 6,401/x
3. Step 3: Cross multiply
   10,595.18x = 14,616.78 × 6,401
4. Step 4: Simplify right side
   10,595.18x = 93,562,008.78
5. Step 5: Solve for x
   x = 93,562,008.78/10,595.18
6. Step 6: Final answer
   x = 8,830.62