Finding the Fourth Proportional to 10,764.82, 14,855.63 and 5,919.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,764.82 : 14,855.63 = 5,919.75 : x
2. Step 2: Convert to fraction form
   10,764.82/14,855.63 = 5,919.75/x
3. Step 3: Cross multiply
   10,764.82x = 14,855.63 × 5,919.75
4. Step 4: Simplify right side
   10,764.82x = 87,941,615.69
5. Step 5: Solve for x
   x = 87,941,615.69/10,764.82
6. Step 6: Final answer
   x = 8,169.35