Finding the Fourth Proportional to 13,096.50, 18,072.69 and 7,128.02

Step by Step Solution

1. Step 1: Write the proportion equation
   13,096.50 : 18,072.69 = 7,128.02 : x
2. Step 2: Convert to fraction form
   13,096.50/18,072.69 = 7,128.02/x
3. Step 3: Cross multiply
   13,096.50x = 18,072.69 × 7,128.02
4. Step 4: Simplify right side
   13,096.50x = 128,822,495.77
5. Step 5: Solve for x
   x = 128,822,495.77/13,096.50
6. Step 6: Final answer
   x = 9,836.41