Finding the Fourth Proportional to 10,446.34, 14,415.09 and 5,730.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,446.34 : 14,415.09 = 5,730.62 : x
2. Step 2: Convert to fraction form
   10,446.34/14,415.09 = 5,730.62/x
3. Step 3: Cross multiply
   10,446.34x = 14,415.09 × 5,730.62
4. Step 4: Simplify right side
   10,446.34x = 82,607,401.32
5. Step 5: Solve for x
   x = 82,607,401.32/10,446.34
6. Step 6: Final answer
   x = 7,907.78