Finding the Fourth Proportional to 10,151.82, 14,005.14 and 5,902.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,151.82 : 14,005.14 = 5,902.56 : x
2. Step 2: Convert to fraction form
   10,151.82/14,005.14 = 5,902.56/x
3. Step 3: Cross multiply
   10,151.82x = 14,005.14 × 5,902.56
4. Step 4: Simplify right side
   10,151.82x = 82,666,179.16
5. Step 5: Solve for x
   x = 82,666,179.16/10,151.82
6. Step 6: Final answer
   x = 8,142.99