Finding the Fourth Proportional to 10,640.30, 14,686.17 and 6,166.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,640.30 : 14,686.17 = 6,166.52 : x
2. Step 2: Convert to fraction form
   10,640.30/14,686.17 = 6,166.52/x
3. Step 3: Cross multiply
   10,640.30x = 14,686.17 × 6,166.52
4. Step 4: Simplify right side
   10,640.30x = 90,562,561.03
5. Step 5: Solve for x
   x = 90,562,561.03/10,640.30
6. Step 6: Final answer
   x = 8,511.28