Finding the Fourth Proportional to 10,019.34, 13,826.68 and 5,768.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.34 : 13,826.68 = 5,768.87 : x
2. Step 2: Convert to fraction form
   10,019.34/13,826.68 = 5,768.87/x
3. Step 3: Cross multiply
   10,019.34x = 13,826.68 × 5,768.87
4. Step 4: Simplify right side
   10,019.34x = 79,764,235.90
5. Step 5: Solve for x
   x = 79,764,235.90/10,019.34
6. Step 6: Final answer
   x = 7,961.03