Finding the Fourth Proportional to 10,350.50, 14,283.70 and 5,634.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,350.50 : 14,283.70 = 5,634.82 : x
2. Step 2: Convert to fraction form
   10,350.50/14,283.70 = 5,634.82/x
3. Step 3: Cross multiply
   10,350.50x = 14,283.70 × 5,634.82
4. Step 4: Simplify right side
   10,350.50x = 80,486,078.43
5. Step 5: Solve for x
   x = 80,486,078.43/10,350.50
6. Step 6: Final answer
   x = 7,776.06