Finding the Fourth Proportional to 10,634.75, 14,675.96 and 5,919.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,634.75 : 14,675.96 = 5,919.34 : x
2. Step 2: Convert to fraction form
   10,634.75/14,675.96 = 5,919.34/x
3. Step 3: Cross multiply
   10,634.75x = 14,675.96 × 5,919.34
4. Step 4: Simplify right side
   10,634.75x = 86,871,997.07
5. Step 5: Solve for x
   x = 86,871,997.07/10,634.75
6. Step 6: Final answer
   x = 8,168.69