Finding the Fourth Proportional to 10,709.60, 16,064.52 and 5,161.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,709.60 : 16,064.52 = 5,161.76 : x
2. Step 2: Convert to fraction form
   10,709.60/16,064.52 = 5,161.76/x
3. Step 3: Cross multiply
   10,709.60x = 16,064.52 × 5,161.76
4. Step 4: Simplify right side
   10,709.60x = 82,921,196.76
5. Step 5: Solve for x
   x = 82,921,196.76/10,709.60
6. Step 6: Final answer
   x = 7,742.70