Finding the Fourth Proportional to 10,709.42, 14,778.60 and 5,993.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,709.42 : 14,778.60 = 5,993.76 : x
2. Step 2: Convert to fraction form
   10,709.42/14,778.60 = 5,993.76/x
3. Step 3: Cross multiply
   10,709.42x = 14,778.60 × 5,993.76
4. Step 4: Simplify right side
   10,709.42x = 88,579,381.54
5. Step 5: Solve for x
   x = 88,579,381.54/10,709.42
6. Step 6: Final answer
   x = 8,271.17