Finding the Fourth Proportional to 10,153.36, 14,011.81 and 5,676.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,153.36 : 14,011.81 = 5,676.62 : x
2. Step 2: Convert to fraction form
   10,153.36/14,011.81 = 5,676.62/x
3. Step 3: Cross multiply
   10,153.36x = 14,011.81 × 5,676.62
4. Step 4: Simplify right side
   10,153.36x = 79,539,741.72
5. Step 5: Solve for x
   x = 79,539,741.72/10,153.36
6. Step 6: Final answer
   x = 7,833.84