Finding the Fourth Proportional to 10,428.81, 14,391.77 and 5,648.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,428.81 : 14,391.77 = 5,648.76 : x
2. Step 2: Convert to fraction form
   10,428.81/14,391.77 = 5,648.76/x
3. Step 3: Cross multiply
   10,428.81x = 14,391.77 × 5,648.76
4. Step 4: Simplify right side
   10,428.81x = 81,295,626.46
5. Step 5: Solve for x
   x = 81,295,626.46/10,428.81
6. Step 6: Final answer
   x = 7,795.30