Finding the Fourth Proportional to 10,165.05, 14,026.55 and 5,688.45

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165.05 : 14,026.55 = 5,688.45 : x
2. Step 2: Convert to fraction form
   10,165.05/14,026.55 = 5,688.45/x
3. Step 3: Cross multiply
   10,165.05x = 14,026.55 × 5,688.45
4. Step 4: Simplify right side
   10,165.05x = 79,789,299.91
5. Step 5: Solve for x
   x = 79,789,299.91/10,165.05
6. Step 6: Final answer
   x = 7,849.38