Finding the Fourth Proportional to 10,142.10, 14,006.79 and 7,760.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.10 : 14,006.79 = 7,760.70 : x
2. Step 2: Convert to fraction form
   10,142.10/14,006.79 = 7,760.70/x
3. Step 3: Cross multiply
   10,142.10x = 14,006.79 × 7,760.70
4. Step 4: Simplify right side
   10,142.10x = 108,702,495.15
5. Step 5: Solve for x
   x = 108,702,495.15/10,142.10
6. Step 6: Final answer
   x = 10,717.95