Finding the Fourth Proportional to 10,422.88, 14,384.94 and 5,945.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.88 : 14,384.94 = 5,945.60 : x
2. Step 2: Convert to fraction form
   10,422.88/14,384.94 = 5,945.60/x
3. Step 3: Cross multiply
   10,422.88x = 14,384.94 × 5,945.60
4. Step 4: Simplify right side
   10,422.88x = 85,527,099.26
5. Step 5: Solve for x
   x = 85,527,099.26/10,422.88
6. Step 6: Final answer
   x = 8,205.71