Finding the Fourth Proportional to 10,422.97, 14,384.52 and 5,945.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.97 : 14,384.52 = 5,945.69 : x
2. Step 2: Convert to fraction form
   10,422.97/14,384.52 = 5,945.69/x
3. Step 3: Cross multiply
   10,422.97x = 14,384.52 × 5,945.69
4. Step 4: Simplify right side
   10,422.97x = 85,525,896.72
5. Step 5: Solve for x
   x = 85,525,896.72/10,422.97
6. Step 6: Final answer
   x = 8,205.52