Finding the Fourth Proportional to 10,428.57, 14,391.35 and 5,648.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,428.57 : 14,391.35 = 5,648.40 : x
2. Step 2: Convert to fraction form
   10,428.57/14,391.35 = 5,648.40/x
3. Step 3: Cross multiply
   10,428.57x = 14,391.35 × 5,648.40
4. Step 4: Simplify right side
   10,428.57x = 81,288,101.34
5. Step 5: Solve for x
   x = 81,288,101.34/10,428.57
6. Step 6: Final answer
   x = 7,794.75