Finding the Fourth Proportional to 10,153.81, 14,012.34 and 5,905.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,153.81 : 14,012.34 = 5,905.09 : x
2. Step 2: Convert to fraction form
   10,153.81/14,012.34 = 5,905.09/x
3. Step 3: Cross multiply
   10,153.81x = 14,012.34 × 5,905.09
4. Step 4: Simplify right side
   10,153.81x = 82,744,128.81
5. Step 5: Solve for x
   x = 82,744,128.81/10,153.81
6. Step 6: Final answer
   x = 8,149.07