Finding the Fourth Proportional to 10,401.20, 14,356.15 and 5,926.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.20 : 14,356.15 = 5,926.05 : x
2. Step 2: Convert to fraction form
   10,401.20/14,356.15 = 5,926.05/x
3. Step 3: Cross multiply
   10,401.20x = 14,356.15 × 5,926.05
4. Step 4: Simplify right side
   10,401.20x = 85,075,262.71
5. Step 5: Solve for x
   x = 85,075,262.71/10,401.20
6. Step 6: Final answer
   x = 8,179.37