Finding the Fourth Proportional to 9,926.61, 14,861.13 and 7,728.67

Step by Step Solution

1. Step 1: Write the proportion equation
   9,926.61 : 14,861.13 = 7,728.67 : x
2. Step 2: Convert to fraction form
   9,926.61/14,861.13 = 7,728.67/x
3. Step 3: Cross multiply
   9,926.61x = 14,861.13 × 7,728.67
4. Step 4: Simplify right side
   9,926.61x = 114,856,769.60
5. Step 5: Solve for x
   x = 114,856,769.60/9,926.61
6. Step 6: Final answer
   x = 11,570.59