Finding the Fourth Proportional to 10,367.50, 14,307.16 and 5,651.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,367.50 : 14,307.16 = 5,651.80 : x
2. Step 2: Convert to fraction form
   10,367.50/14,307.16 = 5,651.80/x
3. Step 3: Cross multiply
   10,367.50x = 14,307.16 × 5,651.80
4. Step 4: Simplify right side
   10,367.50x = 80,861,206.89
5. Step 5: Solve for x
   x = 80,861,206.89/10,367.50
6. Step 6: Final answer
   x = 7,799.49