Finding the Fourth Proportional to 10,684.76, 14,747.10 and 7,113.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,684.76 : 14,747.10 = 7,113.24 : x
2. Step 2: Convert to fraction form
   10,684.76/14,747.10 = 7,113.24/x
3. Step 3: Cross multiply
   10,684.76x = 14,747.10 × 7,113.24
4. Step 4: Simplify right side
   10,684.76x = 104,899,661.60
5. Step 5: Solve for x
   x = 104,899,661.60/10,684.76
6. Step 6: Final answer
   x = 9,817.69