Finding the Fourth Proportional to 10,019.31, 13,826.99 and 5,771.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.31 : 13,826.99 = 5,771.76 : x
2. Step 2: Convert to fraction form
   10,019.31/13,826.99 = 5,771.76/x
3. Step 3: Cross multiply
   10,019.31x = 13,826.99 × 5,771.76
4. Step 4: Simplify right side
   10,019.31x = 79,805,997.91
5. Step 5: Solve for x
   x = 79,805,997.91/10,019.31
6. Step 6: Final answer
   x = 7,965.22