Finding the Fourth Proportional to 10,689.34, 14,727.14 and 7,456.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,689.34 : 14,727.14 = 7,456.06 : x
2. Step 2: Convert to fraction form
   10,689.34/14,727.14 = 7,456.06/x
3. Step 3: Cross multiply
   10,689.34x = 14,727.14 × 7,456.06
4. Step 4: Simplify right side
   10,689.34x = 109,806,439.47
5. Step 5: Solve for x
   x = 109,806,439.47/10,689.34
6. Step 6: Final answer
   x = 10,272.52