Finding the Fourth Proportional to 10,340.92, 14,271.94 and 5,865.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,340.92 : 14,271.94 = 5,865.78 : x
2. Step 2: Convert to fraction form
   10,340.92/14,271.94 = 5,865.78/x
3. Step 3: Cross multiply
   10,340.92x = 14,271.94 × 5,865.78
4. Step 4: Simplify right side
   10,340.92x = 83,716,060.21
5. Step 5: Solve for x
   x = 83,716,060.21/10,340.92
6. Step 6: Final answer
   x = 8,095.61