Finding the Fourth Proportional to 10,627.38, 14,666.49 and 7,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,627.38 : 14,666.49 = 7,096.50 : x
2. Step 2: Convert to fraction form
   10,627.38/14,666.49 = 7,096.50/x
3. Step 3: Cross multiply
   10,627.38x = 14,666.49 × 7,096.50
4. Step 4: Simplify right side
   10,627.38x = 104,080,746.29
5. Step 5: Solve for x
   x = 104,080,746.29/10,627.38
6. Step 6: Final answer
   x = 9,793.64