Finding the Fourth Proportional to 9,946.17, 13,725.81 and 5,469.95

Step by Step Solution

1. Step 1: Write the proportion equation
   9,946.17 : 13,725.81 = 5,469.95 : x
2. Step 2: Convert to fraction form
   9,946.17/13,725.81 = 5,469.95/x
3. Step 3: Cross multiply
   9,946.17x = 13,725.81 × 5,469.95
4. Step 4: Simplify right side
   9,946.17x = 75,079,494.41
5. Step 5: Solve for x
   x = 75,079,494.41/9,946.17
6. Step 6: Final answer
   x = 7,548.58