Finding the Fourth Proportional to 10,634.50, 14,675.61 and 5,919.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,634.50 : 14,675.61 = 5,919.09 : x
2. Step 2: Convert to fraction form
   10,634.50/14,675.61 = 5,919.09/x
3. Step 3: Cross multiply
   10,634.50x = 14,675.61 × 5,919.09
4. Step 4: Simplify right side
   10,634.50x = 86,866,256.39
5. Step 5: Solve for x
   x = 86,866,256.39/10,634.50
6. Step 6: Final answer
   x = 8,168.34