Finding the Fourth Proportional to 10,165.50, 14,027.49 and 5,687.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165.50 : 14,027.49 = 5,687.82 : x
2. Step 2: Convert to fraction form
   10,165.50/14,027.49 = 5,687.82/x
3. Step 3: Cross multiply
   10,165.50x = 14,027.49 × 5,687.82
4. Step 4: Simplify right side
   10,165.50x = 79,785,838.17
5. Step 5: Solve for x
   x = 79,785,838.17/10,165.50
6. Step 6: Final answer
   x = 7,848.69