Finding the Fourth Proportional to 13,838.53, 19,099.61 and 8,172.89

Step by Step Solution

1. Step 1: Write the proportion equation
   13,838.53 : 19,099.61 = 8,172.89 : x
2. Step 2: Convert to fraction form
   13,838.53/19,099.61 = 8,172.89/x
3. Step 3: Cross multiply
   13,838.53x = 19,099.61 × 8,172.89
4. Step 4: Simplify right side
   13,838.53x = 156,098,970.71
5. Step 5: Solve for x
   x = 156,098,970.71/13,838.53
6. Step 6: Final answer
   x = 11,280.03