Finding the Fourth Proportional to 10,428.76, 14,391.60 and 5,648.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,428.76 : 14,391.60 = 5,648.71 : x
2. Step 2: Convert to fraction form
   10,428.76/14,391.60 = 5,648.71/x
3. Step 3: Cross multiply
   10,428.76x = 14,391.60 × 5,648.71
4. Step 4: Simplify right side
   10,428.76x = 81,293,974.84
5. Step 5: Solve for x
   x = 81,293,974.84/10,428.76
6. Step 6: Final answer
   x = 7,795.17