Finding the Fourth Proportional to 10,675.89, 14,732.69 and 6,199.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,675.89 : 14,732.69 = 6,199.83 : x
2. Step 2: Convert to fraction form
   10,675.89/14,732.69 = 6,199.83/x
3. Step 3: Cross multiply
   10,675.89x = 14,732.69 × 6,199.83
4. Step 4: Simplify right side
   10,675.89x = 91,340,142.44
5. Step 5: Solve for x
   x = 91,340,142.44/10,675.89
6. Step 6: Final answer
   x = 8,555.74