Finding the Fourth Proportional to 10,436.82, 15,650.06 and 5,165.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,436.82 : 15,650.06 = 5,165.72 : x
2. Step 2: Convert to fraction form
   10,436.82/15,650.06 = 5,165.72/x
3. Step 3: Cross multiply
   10,436.82x = 15,650.06 × 5,165.72
4. Step 4: Simplify right side
   10,436.82x = 80,843,827.94
5. Step 5: Solve for x
   x = 80,843,827.94/10,436.82
6. Step 6: Final answer
   x = 7,746.02