Finding the Fourth Proportional to 9,688.28, 14,513.66 and 5,675.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688.28 : 14,513.66 = 5,675.98 : x
2. Step 2: Convert to fraction form
   9,688.28/14,513.66 = 5,675.98/x
3. Step 3: Cross multiply
   9,688.28x = 14,513.66 × 5,675.98
4. Step 4: Simplify right side
   9,688.28x = 82,379,243.89
5. Step 5: Solve for x
   x = 82,379,243.89/9,688.28
6. Step 6: Final answer
   x = 8,502.98