Finding the Fourth Proportional to 10,428.56, 14,391.40 and 5,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,428.56 : 14,391.40 = 5,648.50 : x
2. Step 2: Convert to fraction form
   10,428.56/14,391.40 = 5,648.50/x
3. Step 3: Cross multiply
   10,428.56x = 14,391.40 × 5,648.50
4. Step 4: Simplify right side
   10,428.56x = 81,289,822.90
5. Step 5: Solve for x
   x = 81,289,822.90/10,428.56
6. Step 6: Final answer
   x = 7,794.92