Finding the Fourth Proportional to 10,106.71, 13,946.68 and 5,568.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.71 : 13,946.68 = 5,568.48 : x
2. Step 2: Convert to fraction form
   10,106.71/13,946.68 = 5,568.48/x
3. Step 3: Cross multiply
   10,106.71x = 13,946.68 × 5,568.48
4. Step 4: Simplify right side
   10,106.71x = 77,661,815.61
5. Step 5: Solve for x
   x = 77,661,815.61/10,106.71
6. Step 6: Final answer
   x = 7,684.19