Finding the Fourth Proportional to 10,339.92, 14,270.56 and 5,864.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,339.92 : 14,270.56 = 5,864.78 : x
2. Step 2: Convert to fraction form
   10,339.92/14,270.56 = 5,864.78/x
3. Step 3: Cross multiply
   10,339.92x = 14,270.56 × 5,864.78
4. Step 4: Simplify right side
   10,339.92x = 83,693,715.89
5. Step 5: Solve for x
   x = 83,693,715.89/10,339.92
6. Step 6: Final answer
   x = 8,094.23