Finding the Fourth Proportional to 10,405.34, 14,359.36 and 5,689.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,405.34 : 14,359.36 = 5,689.62 : x
2. Step 2: Convert to fraction form
   10,405.34/14,359.36 = 5,689.62/x
3. Step 3: Cross multiply
   10,405.34x = 14,359.36 × 5,689.62
4. Step 4: Simplify right side
   10,405.34x = 81,699,281.90
5. Step 5: Solve for x
   x = 81,699,281.90/10,405.34
6. Step 6: Final answer
   x = 7,851.67