Finding the Fourth Proportional to 10,340.34, 14,269.60 and 5,624.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,340.34 : 14,269.60 = 5,624.62 : x
2. Step 2: Convert to fraction form
   10,340.34/14,269.60 = 5,624.62/x
3. Step 3: Cross multiply
   10,340.34x = 14,269.60 × 5,624.62
4. Step 4: Simplify right side
   10,340.34x = 80,261,077.55
5. Step 5: Solve for x
   x = 80,261,077.55/10,340.34
6. Step 6: Final answer
   x = 7,761.94